{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1 ggplot2入门笔记1—ggplot2简要教程 \n",
    "ggplot2是R中最优雅，美观的图形框架。它具有精心设计的结构。本教程重点介绍可用于制作任何ggplot的基础结构。但是，在ggplot2中绘制图的方式与使学习曲线陡峭的基本图形截然不同。因此，将您对基本图形的了解留在后面并继续。您距离破解ggplot拼图只有5个步骤。该章节主要内容有：\n",
    "1. 设置 The Setup\n",
    "2. 图层 The Layers\n",
    "3. 标签 The Labels\n",
    "4. 主题 The Theme\n",
    "5. 分面 The Facets\n",
    "6. 常用函数 Commonly Used Features\n",
    "\n",
    "**参考文档**\n",
    "> http://r-statistics.co/ggplot2-Tutorial-With-R.html"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. 设置 The Setup\n",
    "首先，您需要告诉ggplot使用什么数据集。这是使用ggplot(df)函数完成的，其中df是一个数据框，其中包含制作绘图所需的所有功能。这是最基本的步骤。与基础图形不同，ggplot不会将矢量作为参数。\n",
    "您可以aes()通过指定数据集中的各个变量，将想要应用到ggplot（内部参数）的任何美学效果添加到其中-例如X和Y轴。颜色，大小，形状基于其更改的变量也可以在此处自行指定。此处指定的美学将被您随后添加的所有geom层继承。如果以后打算添加更多的图层（可能是折线图顶部的条形图），则可以在添加这些图层时指定各自的外观。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "下面，我展示了一些如何在自身diamonds随附的数据集中使用ggplot的示例ggplot2。但是，在添加几何图层之前，不会展示任何图像。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "\"package 'ggplot2' was built under R version 3.6.1\"\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A tibble: 6 × 10</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>carat</th><th scope=col>cut</th><th scope=col>color</th><th scope=col>clarity</th><th scope=col>depth</th><th scope=col>table</th><th scope=col>price</th><th scope=col>x</th><th scope=col>y</th><th scope=col>z</th></tr>\n",
       "\t<tr><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;ord&gt;</th><th scope=col>&lt;ord&gt;</th><th scope=col>&lt;ord&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;int&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>0.23</td><td>Ideal    </td><td>E</td><td>SI2 </td><td>61.5</td><td>55</td><td>326</td><td>3.95</td><td>3.98</td><td>2.43</td></tr>\n",
       "\t<tr><td>0.21</td><td>Premium  </td><td>E</td><td>SI1 </td><td>59.8</td><td>61</td><td>326</td><td>3.89</td><td>3.84</td><td>2.31</td></tr>\n",
       "\t<tr><td>0.23</td><td>Good     </td><td>E</td><td>VS1 </td><td>56.9</td><td>65</td><td>327</td><td>4.05</td><td>4.07</td><td>2.31</td></tr>\n",
       "\t<tr><td>0.29</td><td>Premium  </td><td>I</td><td>VS2 </td><td>62.4</td><td>58</td><td>334</td><td>4.20</td><td>4.23</td><td>2.63</td></tr>\n",
       "\t<tr><td>0.31</td><td>Good     </td><td>J</td><td>SI2 </td><td>63.3</td><td>58</td><td>335</td><td>4.34</td><td>4.35</td><td>2.75</td></tr>\n",
       "\t<tr><td>0.24</td><td>Very Good</td><td>J</td><td>VVS2</td><td>62.8</td><td>57</td><td>336</td><td>3.94</td><td>3.96</td><td>2.48</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A tibble: 6 × 10\n",
       "\\begin{tabular}{r|llllllllll}\n",
       " carat & cut & color & clarity & depth & table & price & x & y & z\\\\\n",
       " <dbl> & <ord> & <ord> & <ord> & <dbl> & <dbl> & <int> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t 0.23 & Ideal     & E & SI2  & 61.5 & 55 & 326 & 3.95 & 3.98 & 2.43\\\\\n",
       "\t 0.21 & Premium   & E & SI1  & 59.8 & 61 & 326 & 3.89 & 3.84 & 2.31\\\\\n",
       "\t 0.23 & Good      & E & VS1  & 56.9 & 65 & 327 & 4.05 & 4.07 & 2.31\\\\\n",
       "\t 0.29 & Premium   & I & VS2  & 62.4 & 58 & 334 & 4.20 & 4.23 & 2.63\\\\\n",
       "\t 0.31 & Good      & J & SI2  & 63.3 & 58 & 335 & 4.34 & 4.35 & 2.75\\\\\n",
       "\t 0.24 & Very Good & J & VVS2 & 62.8 & 57 & 336 & 3.94 & 3.96 & 2.48\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A tibble: 6 × 10\n",
       "\n",
       "| carat &lt;dbl&gt; | cut &lt;ord&gt; | color &lt;ord&gt; | clarity &lt;ord&gt; | depth &lt;dbl&gt; | table &lt;dbl&gt; | price &lt;int&gt; | x &lt;dbl&gt; | y &lt;dbl&gt; | z &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|\n",
       "| 0.23 | Ideal     | E | SI2  | 61.5 | 55 | 326 | 3.95 | 3.98 | 2.43 |\n",
       "| 0.21 | Premium   | E | SI1  | 59.8 | 61 | 326 | 3.89 | 3.84 | 2.31 |\n",
       "| 0.23 | Good      | E | VS1  | 56.9 | 65 | 327 | 4.05 | 4.07 | 2.31 |\n",
       "| 0.29 | Premium   | I | VS2  | 62.4 | 58 | 334 | 4.20 | 4.23 | 2.63 |\n",
       "| 0.31 | Good      | J | SI2  | 63.3 | 58 | 335 | 4.34 | 4.35 | 2.75 |\n",
       "| 0.24 | Very Good | J | VVS2 | 62.8 | 57 | 336 | 3.94 | 3.96 | 2.48 |\n",
       "\n"
      ],
      "text/plain": [
       "  carat cut       color clarity depth table price x    y    z   \n",
       "1 0.23  Ideal     E     SI2     61.5  55    326   3.95 3.98 2.43\n",
       "2 0.21  Premium   E     SI1     59.8  61    326   3.89 3.84 2.31\n",
       "3 0.23  Good      E     VS1     56.9  65    327   4.05 4.07 2.31\n",
       "4 0.29  Premium   I     VS2     62.4  58    334   4.20 4.23 2.63\n",
       "5 0.31  Good      J     SI2     63.3  58    335   4.34 4.35 2.75\n",
       "6 0.24  Very Good J     VVS2    62.8  57    336   3.94 3.96 2.48"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 调用ggplot2库\n",
    "library(ggplot2)\n",
    "# 展示金刚石数据集\n",
    "head(diamonds)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0gAAANICAMAAADKOT/pAAAABlBMVEXr6+v///+HIERrAAAA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\nAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# if only the dataset is known. 只显示数据\n",
    "ggplot(diamonds)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7SQBmhgNc3QQhqggdU0QwtpgAZW0wwt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\nCqnrDrhC6roD7m92Icy7w0fGlAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# if only X-axis is known. The Y-axis can be specified in respective geoms.\n",
    "# 只设定x轴，y轴数据可以在geoms中指定\n",
    "ggplot(diamonds, aes(x=carat))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# if both X and Y axes are fixed for all layers.\n",
    "# 指定x轴和y轴\n",
    "ggplot(diamonds, aes(x=carat, y=price))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7SQBmhgNc3QQhqggdU0QwtpgAZW0wwt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\nCqnrDrhC6roD7m92Icy7w0fGlAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Each category of the 'cut' variable will now have a distinct color, once a geom is added.\n",
    "# 指定颜色类别cut\n",
    "ggplot(diamonds, aes(x=carat, color=cut)) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "aes代表美学。ggplot2还将图的X轴和Y轴以及颜色，大小，形状，填充等也视为美观特征。如果要固定颜色，大小等（即，不根据数据框中的变量而变化） ，您需要aes()像这样在之外指定它。有关更多颜色，请参见R语言调色板。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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7SQBmhgNc3QQhqggdU0QwtpgAZW0wwt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\nCqnrDrhC6roD7m92Icy7w0fGlAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(diamonds, aes(x=carat), color=\"steelblue\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. 图层 The Layers\n",
    "ggplot2中的图层也称为“ geoms ”。基本设置完成后，您可以将几何图形一个附加在另一个图形之上。[此文档](https://ggplot2.tidyverse.org/reference/)提供了所有可用geoms的全面列表。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = \"cs\")'\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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Och760PPh1wJJIaXF4l33/PRfAMLVEq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Maa05Y2Em6jPg6ErGLJ66xzMqKkiT8nKQ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\nFPR/4fy50Tq+QyIAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(diamonds, aes(x=carat, y=price, color=cut)) + \n",
    "# Adding scatterplot geom (layer1) 添加散点图\n",
    "geom_point() + \n",
    "# Adding moothing geom (layer2) 在散点图的基础上添加一条平滑的趋势曲线\n",
    "geom_smooth() "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们在上图添加了两层（geom）- geom_point()和geom_smooth()。由于X轴Y轴和颜色是在ggplot()设置本身中定义的，因此这两层继承了那些美学。另外，您也可以如下所示在geom图层内指定这些外观"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = \"cs\")'\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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mx7bG7IutR7fC6pu8d1FyIU8CuDtbZqR4UYheAoRO6QI5hyBZI+fBT8l1/Yk/ol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QCIsiSNYUJmM9Qba3lgtDhvER7NHnYw6W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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    " # Same as above but specifying the aesthetics inside the geoms. 类似上面的结果\n",
    "ggplot(diamonds) + \n",
    "geom_point(aes(x=carat, y=price, color=cut)) + \n",
    "geom_smooth(aes(x=carat, y=price, color=cut))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "注意X和Y轴，以及点的颜色如何根据cut变量的值而变化。图例已自动添加。我想提出一个改变。cut我不想在每个级别上使用多条平滑线，而是将它们全部集成在一条线下。怎么做？color从geom_smooth()层次上消除美学将达到目的。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = \"cs\")'\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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VIjvUHQUxcOglD2SIHk1SiNhG0VZAii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\nRAIQ8D9evWxXwZmsjAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(ggplot2)\n",
    "ggplot(diamonds) + \n",
    "geom_point(aes(x=carat, y=price, color=cut)) + \n",
    "# Remove color from geom_smooth 只画一条拟合平滑线\n",
    "geom_smooth(aes(x=carat, y=price)) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = \"cs\")'\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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VIjvUHQUxcOglD2SIHk1SiNhG0VZAii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\nRAIQ8D9evWxXwZmsjAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    " # same but simpler 类似上图同样的功能\n",
    "ggplot(diamonds, aes(x=carat, y=price)) + \n",
    "geom_point(aes(color=cut)) + \n",
    "geom_smooth() "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这对您来说是一个快速的挑战。可以使点的形状随color功能而变化吗？尽管设置过程花费了我们很多代码，但是增加诸如图层，每个cut的不同颜色等的复杂性却很容易。想象一下，如果要在基本图形中进行编写，必须编写多少代码？感谢ggplot2！"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "\"Using shapes for an ordinal variable is not advised\"\n",
      "Warning message:\n",
      "\"The shape palette can deal with a maximum of 6 discrete values because\n",
      "more than 6 becomes difficult to discriminate; you have 7. Consider\n",
      "specifying shapes manually if you must have them.\"\n",
      "Warning message:\n",
      "\"Removed 2808 rows containing missing values (geom_point).\"\n"
     ]
    },
    {
     "data": {
      "image/png": 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Pqg5IQrBnaQGsh1N3J1YMXRBKSFgkIaviAqyYLEbjqbPUR6JtMKCTq4cN/LXDZ2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TnZHd322v8SkDfxQk/o+1DhIbcF8vrYUy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\nSUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Answer to the challenge 设置形状点\n",
    "ggplot(diamonds, aes(x=carat, y=price, color=cut, shape=color)) + \n",
    "geom_point()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. 标签 The Labels\n",
    "现在，您已经绘制了图形的主要部分。您可能要添加图解的主要标题，并可能更改X和Y轴标题。这可以通过labs用于指定标签的层来完成。但是，操纵标签的大小，颜色是本文第四部分“主题”的工作。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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XFEdko/3/gEpKdzpFnFJ2IgvUPuB1ItiyBRgI+ENjhXptZSV+KePHgmArEJ4Dx3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IwGM58EBwbkjYsg71YDKZrVsCSbue9jrd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\nAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gg <- ggplot(diamonds, aes(x=carat, y=price, color=cut)) + \n",
    "geom_point() + \n",
    "# add axis lables and plot title 添加标签\n",
    "labs(title=\"Scatterplot\", x=\"Carat\", y=\"Price\")\n",
    "print(gg)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "图的主要标题已添加，并且X和Y轴标签大写。注意：如果要在函数内部显示ggplot，则需要显式保存它，然后使用进行打印print(gg)，就像我们上面所做的那样。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. 主题 The Theme\n",
    "除了我们要增加标签的大小并更改图例标题以外，几乎所有内容都已设置。调整标签的大小可以在theme()函数中通过设置功能plot.title，axis.text.x和axis.text.y。需要在中指定它们element_text()。如果要删除其中任何一个，请将其设置为element_blank()，它将完全消失。  \n",
    "调整图例标题有些棘手。如果您的图例是某个color属性的图例，并且其根据因数而变化，则您需要设置scale_color_discrete()中的name，其中颜色部分属于color属性，而离散部分属于离散属性，因为图例是基于因数变量的。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lFO1clACh0DRI07aebABXvHVfj3MEiNirQrcmQgjS2ydaOcqrOBFHgnCXWsLi9N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EkUoS2cfR47TYnT6WgTSnJtdBLy+TQKo5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\nbSWKJM0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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gg1 <- gg + \n",
    "    theme(\n",
    "    # 设置标题大小，face=\"bold\"字体加粗\n",
    "        plot.title=element_text(size=30, face=\"bold\"), \n",
    "        axis.text.x=element_text(size=15),\n",
    "        axis.text.y=element_text(size=15),\n",
    "        axis.title.x=element_text(size=25),\n",
    "        axis.title.y=element_text(size=25)) +\n",
    "    # add title and axis text, change legend title.\n",
    "    # 添加渐变色，并设置颜色条图例标题\n",
    "    scale_color_discrete(name=\"Cut of diamonds\")  \n",
    "print(gg1)  # print the plot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "如果图例显示基于因子变量的形状属性，则需要使用scale_shape_discrete(name=\"legend title\")进行更改。如果它是一个连续变量，改用scale_shape_continuous(name=\"legend title\")。如果您的图例基于fill连续变量的属性，使用scale_fill_continuous(name=\"legend title\")。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5. 分面 The Facets\n",
    "在上一张图表中，您在同一张图表中具有所有不同cut绘制值的散点图。如果您想要每张图表一个cut值呢？就需要用到分面功能\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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eXh3ObiROJv/HMKwvkopqj1n2HXIUEkOcWLxHry+8ubJPGIP1GbWyQhXeCq3cb+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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gg1 + facet_wrap( ~cut , ncol=3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "facet_wrap(formula)接受一个公式作为参数。右边的项目对应于列。左侧的项定义行。\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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VwjaxcU2ypCVARSK9eJ4IjHeEPND+JyJtJ1LCIB4vo6X8YoFi6+30dKXEXIMRpg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\nrnS3VgAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# row: color, column: cut\n",
    "gg1 + facet_wrap(color ~ cut)  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "facet_wrap，X和Y轴的比例固定为默认容纳所有点。这将使属性的比较有意义，因为它们的规模相同。但是，可以通过设置参数scales=free使比例尺自由调整，使图表看起来分布更均匀"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# row: color, column: cut\n",
    "# gg1 + facet_wrap(color ~ cut, scales=\"free\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "出于比较目的，您也可以使用facet_grid(formula)将所有图在一个网格中。注意，各个图的标题已消失，为绘图区域留出更多空间。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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UkiktLSQHJJijkkeANxMxNImdb1EnEzH0g51nVDQHL0qZ592Q+aSoufzAJSnvUp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\nRAQSkEQiAglIIhGBBCSRiEACkkhEoP8HxGriiLPczBoAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gg1 + facet_grid(color ~ cut) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6. 常用函数 Commonly Used Features\n",
    "主要内容如下：\n",
    "+ 6.1 绘制时间序列图（使用ggfortify）\n",
    "+ 6.2 在同一ggplot上绘制多个时间序列\n",
    "+ 6.3 条形图\n",
    "+ 6.4 自定义布局\n",
    "+ 6.5 翻转坐标轴\n",
    "+ 6.6 调整X和Y轴范围\n",
    "+ 6.7 等坐标轴\n",
    "+ 6.8 变更主题\n",
    "+ 6.9 图例删除和更改位置\n",
    "+ 6.10 网格线\n",
    "+ 6.11 图边距和背景\n",
    "+ 6.12 注释\n",
    "+ 6.13 保存ggplot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.1 绘制时间序列图（使用ggfortify）\n",
    "ggfortify包使直接从时间序列对象绘制时间序列变得非常容易，而无需将其转换为数据帧。下面的示例一步绘制AirPassengers时间序列。[在此处](http://rpubs.com/sinhrks/plot_ts)查看更多ggfortify的自动绘图选项以绘制时间序列。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "\"package 'ggfortify' was built under R version 3.6.1\"\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A Time Series: 12 × 12</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>Jan</th><th scope=col>Feb</th><th scope=col>Mar</th><th scope=col>Apr</th><th scope=col>May</th><th scope=col>Jun</th><th scope=col>Jul</th><th scope=col>Aug</th><th scope=col>Sep</th><th scope=col>Oct</th><th scope=col>Nov</th><th scope=col>Dec</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1949</th><td>112</td><td>118</td><td>132</td><td>129</td><td>121</td><td>135</td><td>148</td><td>148</td><td>136</td><td>119</td><td>104</td><td>118</td></tr>\n",
       "\t<tr><th scope=row>1950</th><td>115</td><td>126</td><td>141</td><td>135</td><td>125</td><td>149</td><td>170</td><td>170</td><td>158</td><td>133</td><td>114</td><td>140</td></tr>\n",
       "\t<tr><th scope=row>1951</th><td>145</td><td>150</td><td>178</td><td>163</td><td>172</td><td>178</td><td>199</td><td>199</td><td>184</td><td>162</td><td>146</td><td>166</td></tr>\n",
       "\t<tr><th scope=row>1952</th><td>171</td><td>180</td><td>193</td><td>181</td><td>183</td><td>218</td><td>230</td><td>242</td><td>209</td><td>191</td><td>172</td><td>194</td></tr>\n",
       "\t<tr><th scope=row>1953</th><td>196</td><td>196</td><td>236</td><td>235</td><td>229</td><td>243</td><td>264</td><td>272</td><td>237</td><td>211</td><td>180</td><td>201</td></tr>\n",
       "\t<tr><th scope=row>1954</th><td>204</td><td>188</td><td>235</td><td>227</td><td>234</td><td>264</td><td>302</td><td>293</td><td>259</td><td>229</td><td>203</td><td>229</td></tr>\n",
       "\t<tr><th scope=row>1955</th><td>242</td><td>233</td><td>267</td><td>269</td><td>270</td><td>315</td><td>364</td><td>347</td><td>312</td><td>274</td><td>237</td><td>278</td></tr>\n",
       "\t<tr><th scope=row>1956</th><td>284</td><td>277</td><td>317</td><td>313</td><td>318</td><td>374</td><td>413</td><td>405</td><td>355</td><td>306</td><td>271</td><td>306</td></tr>\n",
       "\t<tr><th scope=row>1957</th><td>315</td><td>301</td><td>356</td><td>348</td><td>355</td><td>422</td><td>465</td><td>467</td><td>404</td><td>347</td><td>305</td><td>336</td></tr>\n",
       "\t<tr><th scope=row>1958</th><td>340</td><td>318</td><td>362</td><td>348</td><td>363</td><td>435</td><td>491</td><td>505</td><td>404</td><td>359</td><td>310</td><td>337</td></tr>\n",
       "\t<tr><th scope=row>1959</th><td>360</td><td>342</td><td>406</td><td>396</td><td>420</td><td>472</td><td>548</td><td>559</td><td>463</td><td>407</td><td>362</td><td>405</td></tr>\n",
       "\t<tr><th scope=row>1960</th><td>417</td><td>391</td><td>419</td><td>461</td><td>472</td><td>535</td><td>622</td><td>606</td><td>508</td><td>461</td><td>390</td><td>432</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A Time Series: 12 × 12\n",
       "\\begin{tabular}{r|llllllllllll}\n",
       "  & Jan & Feb & Mar & Apr & May & Jun & Jul & Aug & Sep & Oct & Nov & Dec\\\\\n",
       "\\hline\n",
       "\t1949 & 112 & 118 & 132 & 129 & 121 & 135 & 148 & 148 & 136 & 119 & 104 & 118\\\\\n",
       "\t1950 & 115 & 126 & 141 & 135 & 125 & 149 & 170 & 170 & 158 & 133 & 114 & 140\\\\\n",
       "\t1951 & 145 & 150 & 178 & 163 & 172 & 178 & 199 & 199 & 184 & 162 & 146 & 166\\\\\n",
       "\t1952 & 171 & 180 & 193 & 181 & 183 & 218 & 230 & 242 & 209 & 191 & 172 & 194\\\\\n",
       "\t1953 & 196 & 196 & 236 & 235 & 229 & 243 & 264 & 272 & 237 & 211 & 180 & 201\\\\\n",
       "\t1954 & 204 & 188 & 235 & 227 & 234 & 264 & 302 & 293 & 259 & 229 & 203 & 229\\\\\n",
       "\t1955 & 242 & 233 & 267 & 269 & 270 & 315 & 364 & 347 & 312 & 274 & 237 & 278\\\\\n",
       "\t1956 & 284 & 277 & 317 & 313 & 318 & 374 & 413 & 405 & 355 & 306 & 271 & 306\\\\\n",
       "\t1957 & 315 & 301 & 356 & 348 & 355 & 422 & 465 & 467 & 404 & 347 & 305 & 336\\\\\n",
       "\t1958 & 340 & 318 & 362 & 348 & 363 & 435 & 491 & 505 & 404 & 359 & 310 & 337\\\\\n",
       "\t1959 & 360 & 342 & 406 & 396 & 420 & 472 & 548 & 559 & 463 & 407 & 362 & 405\\\\\n",
       "\t1960 & 417 & 391 & 419 & 461 & 472 & 535 & 622 & 606 & 508 & 461 & 390 & 432\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A Time Series: 12 × 12\n",
       "\n",
       "| <!--/--> | Jan | Feb | Mar | Apr | May | Jun | Jul | Aug | Sep | Oct | Nov | Dec |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| 1949 | 112 | 118 | 132 | 129 | 121 | 135 | 148 | 148 | 136 | 119 | 104 | 118 |\n",
       "| 1950 | 115 | 126 | 141 | 135 | 125 | 149 | 170 | 170 | 158 | 133 | 114 | 140 |\n",
       "| 1951 | 145 | 150 | 178 | 163 | 172 | 178 | 199 | 199 | 184 | 162 | 146 | 166 |\n",
       "| 1952 | 171 | 180 | 193 | 181 | 183 | 218 | 230 | 242 | 209 | 191 | 172 | 194 |\n",
       "| 1953 | 196 | 196 | 236 | 235 | 229 | 243 | 264 | 272 | 237 | 211 | 180 | 201 |\n",
       "| 1954 | 204 | 188 | 235 | 227 | 234 | 264 | 302 | 293 | 259 | 229 | 203 | 229 |\n",
       "| 1955 | 242 | 233 | 267 | 269 | 270 | 315 | 364 | 347 | 312 | 274 | 237 | 278 |\n",
       "| 1956 | 284 | 277 | 317 | 313 | 318 | 374 | 413 | 405 | 355 | 306 | 271 | 306 |\n",
       "| 1957 | 315 | 301 | 356 | 348 | 355 | 422 | 465 | 467 | 404 | 347 | 305 | 336 |\n",
       "| 1958 | 340 | 318 | 362 | 348 | 363 | 435 | 491 | 505 | 404 | 359 | 310 | 337 |\n",
       "| 1959 | 360 | 342 | 406 | 396 | 420 | 472 | 548 | 559 | 463 | 407 | 362 | 405 |\n",
       "| 1960 | 417 | 391 | 419 | 461 | 472 | 535 | 622 | 606 | 508 | 461 | 390 | 432 |\n",
       "\n"
      ],
      "text/plain": [
       "     Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec\n",
       "1949 112 118 132 129 121 135 148 148 136 119 104 118\n",
       "1950 115 126 141 135 125 149 170 170 158 133 114 140\n",
       "1951 145 150 178 163 172 178 199 199 184 162 146 166\n",
       "1952 171 180 193 181 183 218 230 242 209 191 172 194\n",
       "1953 196 196 236 235 229 243 264 272 237 211 180 201\n",
       "1954 204 188 235 227 234 264 302 293 259 229 203 229\n",
       "1955 242 233 267 269 270 315 364 347 312 274 237 278\n",
       "1956 284 277 317 313 318 374 413 405 355 306 271 306\n",
       "1957 315 301 356 348 355 422 465 467 404 347 305 336\n",
       "1958 340 318 362 348 363 435 491 505 404 359 310 337\n",
       "1959 360 342 406 396 420 472 548 559 463 407 362 405\n",
       "1960 417 391 419 461 472 535 622 606 508 461 390 432"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 载入库\n",
    "library(ggfortify)\n",
    "# 查看数据\n",
    "AirPassengers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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gmp9CMMKYEhwRhCb1oYn7FrHtL4O4YUxJBgVIY08wxP4WRD4XyGIdVjSDCqQwq9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\nIg0wJJEGGJJIAwxJpAH/B3taeA4xtBcbAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "autoplot(AirPassengers) + \n",
    "labs(title=\"AirPassengers\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.2 在同一ggplot上绘制多个时间序列  \n",
    "绘制多个时间序列需要以数据文件格式拥有数据，其中一列是用于X轴的日期。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "方法1：转换后，您只需要不断地将时间序列的多个层逐个添加。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 × 6</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>date</th><th scope=col>pce</th><th scope=col>pop</th><th scope=col>psavert</th><th scope=col>uempmed</th><th scope=col>unemploy</th></tr>\n",
       "\t<tr><th scope=col>&lt;date&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>1967-07-01</td><td>506.7</td><td>198712</td><td>12.6</td><td>4.5</td><td>2944</td></tr>\n",
       "\t<tr><td>1967-08-01</td><td>509.8</td><td>198911</td><td>12.6</td><td>4.7</td><td>2945</td></tr>\n",
       "\t<tr><td>1967-09-01</td><td>515.6</td><td>199113</td><td>11.9</td><td>4.6</td><td>2958</td></tr>\n",
       "\t<tr><td>1967-10-01</td><td>512.2</td><td>199311</td><td>12.9</td><td>4.9</td><td>3143</td></tr>\n",
       "\t<tr><td>1967-11-01</td><td>517.4</td><td>199498</td><td>12.8</td><td>4.7</td><td>3066</td></tr>\n",
       "\t<tr><td>1967-12-01</td><td>525.1</td><td>199657</td><td>11.8</td><td>4.8</td><td>3018</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 6\n",
       "\\begin{tabular}{r|llllll}\n",
       " date & pce & pop & psavert & uempmed & unemploy\\\\\n",
       " <date> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\t 1967-07-01 & 506.7 & 198712 & 12.6 & 4.5 & 2944\\\\\n",
       "\t 1967-08-01 & 509.8 & 198911 & 12.6 & 4.7 & 2945\\\\\n",
       "\t 1967-09-01 & 515.6 & 199113 & 11.9 & 4.6 & 2958\\\\\n",
       "\t 1967-10-01 & 512.2 & 199311 & 12.9 & 4.9 & 3143\\\\\n",
       "\t 1967-11-01 & 517.4 & 199498 & 12.8 & 4.7 & 3066\\\\\n",
       "\t 1967-12-01 & 525.1 & 199657 & 11.8 & 4.8 & 3018\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 6\n",
       "\n",
       "| date &lt;date&gt; | pce &lt;dbl&gt; | pop &lt;dbl&gt; | psavert &lt;dbl&gt; | uempmed &lt;dbl&gt; | unemploy &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|\n",
       "| 1967-07-01 | 506.7 | 198712 | 12.6 | 4.5 | 2944 |\n",
       "| 1967-08-01 | 509.8 | 198911 | 12.6 | 4.7 | 2945 |\n",
       "| 1967-09-01 | 515.6 | 199113 | 11.9 | 4.6 | 2958 |\n",
       "| 1967-10-01 | 512.2 | 199311 | 12.9 | 4.9 | 3143 |\n",
       "| 1967-11-01 | 517.4 | 199498 | 12.8 | 4.7 | 3066 |\n",
       "| 1967-12-01 | 525.1 | 199657 | 11.8 | 4.8 | 3018 |\n",
       "\n"
      ],
      "text/plain": [
       "  date       pce   pop    psavert uempmed unemploy\n",
       "1 1967-07-01 506.7 198712 12.6    4.5     2944    \n",
       "2 1967-08-01 509.8 198911 12.6    4.7     2945    \n",
       "3 1967-09-01 515.6 199113 11.9    4.6     2958    \n",
       "4 1967-10-01 512.2 199311 12.9    4.9     3143    \n",
       "5 1967-11-01 517.4 199498 12.8    4.7     3066    \n",
       "6 1967-12-01 525.1 199657 11.8    4.8     3018    "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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FICkQY9QqQBDIVv1yc2uIJI5vMKRI/p\nOolISgyFb9cnNpgqWYz8nnJM30lEUmIofLs+sUFEyiWJSEoMhW/XJzaISLkkA3QY9giRBjAU\nvl2f2CAi5ZJEJCWGwrfrExtEpFySszqUva9iQ5PNuzMFkUZAJGtyTocRiwKSrbszBZFGQCRr\nckaHcY8QaQBD4dv1iQ0mShajf6Qb03kSkZQYCt+uT2wQkXJJTusw4REiDWAofLs+sUFEyiU5\nqcOUR4g0gKHw7frEBlcRyXjFhMgxnScRSYmh8O36xAYRKZfklA6THiHSAIbCt+sTG0SkXJKI\npMRQ+HZ9YoOIlEtyQodpjxBpAEPh2/WJDSJSLklEUmIofLs+scE1ROpttstttlkkEUmJofDt\n+sQGESmX5LgOMx4h0gCGwrfrExtEpFySiKTEUPh2fWKDiJRLclSHOY8QaQBD4dv1iQ2mSXbN\n6fyd2WzzSCKSEkPh2/WJDSJSLskxHWY9QqQBDIVv1yc2iEi5JBFJiaHw7frEBhEpl+SIDvMe\n3ZKvMCJVWCo/XPgskohkTy4RqUCkDpbKDxc+iyQi2ZPDIgV4hEgDWCo/WPg8kohkTo5cUwKR\n4jBUfrjwWSR7R/Ih0izDIoV4dNuZEZE6GCrfrk9sEJEySS4SiY0NXQyVb9cnNohImSQHRQrz\nCJH6GCrfrk9sEJEySQ6JFOgRIvUxVL5dn9ggImWSRCQphsq36xMbRKRMkgMihXrUSiNSRXjp\nOvWJDSJSJklEkhJeuk59YoOIlEmyL5LBI0TqYqhduz6xQUTKIHm7zERPJItHxxDpXP/7zdTP\nGkvxWvWJDSLS9sny9r+uSCaPDiHS3Zf7P2M/75iq16xPbDBFsufR6A4wujE9J4dEsnl0BJHO\nV0RaR6SBYZOPKUnepCkRaRZEQqQpKmc6Ihk9ajx5RPrfjSSTXJsi6KY1hnVBWf3Tmn1ZWhfi\n9ck/YI00AGskS/K+8mnNvjSPyRrpeWeFtX6B5Vs3iUiWZFekatMDIg2ASCuJNGlSVhV68bxS\neUOkEpEGQSREGqO89EUqY8ZEpOedFdb6BZZv3eQ2IhXT7+2yqtCDxsa54nkTIo1wuD0bECk0\n2RSpbN5kF+nx5HcskgVr/Z71iQ0i0pIxFyab3xYhkhRr/Z71iQ0i0pIxFyYHRCojx0SkNtb6\nPesTG9yTSJMmZVWhmtbuC4gkxVq/Z31ig/sSacKkrCpU0fao3srwuA2RFmKt37M+scFdiTS1\nSsqqQhUdkart3ogkwlq/Z31ig4i0ZMwlyfZ+qbVIz9sQaSHW+j3rExtEpCVjLkn2RGrehEgL\nsdbvWZ/YICItGXNBsnOgxOJjiBGphbl+YeVbNznUzq3bEAmROiDSAIg0n+weubf8rBZFUFLc\nrzIQaQBEmk32joBFJC32+gWVb90kIs0l+0eSC0SqtzcgUoW9fvf6xAb3JdKESVlVCJG6IFKf\nwWZOLlI9QDG6c0NOFRo4tQkiabHX716f2CAiLRgzNplGpAsivbDX716f2CAiLRgzMjl0ri1E\n0mKv370+sUFEWjBmXHLwnHWIpMVev3t9YoN7Eeku0PhBSflUKGCFhEhLsdfvXp/Y4E5EKhDp\ngkgNYuoXUL5Vk5uI9HhrN7oFPJsKhbyzQ6SlxNQvoHyrJoc7uXkrInWRiFQtBZEqouo3X75V\nk9uINDN8NhUqEWkIROqzgUjFyO8px4xLjlxmApHEy4uq33z51kyONDIi3Ri7XAsiiZcXVb/5\n8q2ZRKTx5PD7ugsiIVIfRBpPjl4/DJHEy4uq33z51kweVqT+wIgUDCL1QKTxJCKNgUg9NhCp\nmPgr1ZhzsxhKjl8ZFpHEy4uq33z51kwi0mgSkUZBpB6INJYM9wiRlhJVv/nyrZkc22u0cTsi\nzUURaSFR9Zsv34rJ0bMmrCnSwCS2F2ncI0RCpB45iDR0MEXyCg0MikjBIFKX7UW6HeSXoUgT\nHqlEuj1zRKqIqx8idf/MT6QpjxAJkXog0nASkSZBpC4ZiDR4CyLVC84UROqSh0iy1gxPTos0\n6REiIVIPRBpMItI0iNQFkQaT64h0QaQ7kfVDpNmbVhBpYo+5aY8QCZF6HFqkzqjP5IxHiIRI\nPY4q0m3AMZHmPBLOdvSUzY8FZwoidRl/IV/3iMccGnITkbqjIlIwiNQFkXrJWY8QCZG6TLyO\nq4okOlQuPDku0uipgzph+5hDS0Kkitj6IdLcjauI1Bn1LlJo2Dzm0JIQqSK2fog0dyMi1QvO\nFETqMCnS407tmMNDZiNSgEeZiHSK7ObYXGsZyxfRIrZ+HkR6vcjriDS0dlCNOTaLOJGEu9gW\n12mTJpsZkXyIlGCNVIwPWSDSAJPNjEiINDDYqiIVrR/N5LoiXTQifb2fTu9ft98+304//lT3\nPG87nT5/ns4f93t/IlKK5NoijV/rct23dqMiRX1E2lyk8+mbH9+/fFW/Vfc8bzudql8/7vf+\nRKQESUTqJF2K9Otmycfp9+23t+vX2+2e122n09vX9ffpfPvzce9SEKlDRiK1tzekrFBjx+/W\nbK5B38ZmKNKP6rfvd23fv31+v4G73fO67XS77Vrf9rh3KYjUYfXPSEHb26VjDg40KlLICNmJ\ndDo93tDVt9W/Dd3WzsWDSB2mX8ZCO+bwGeyadyf7Evg+QG+gjkhBHiESIvVYV6S50dYRqWnz\nPkT60fit/dbu9Tje2iVNZiVSs8M3ESnMI61I0y/BZDM/u/njtmHhv9NbvTnhWm1OeN32EunX\nbbMDGxtSJOdau1COiUh9Fon0ePN23+j9r7n5+3XbSyQ2fydLGkRqPHRmB7GxMed2LGtsTUsr\nUu+me9KrSNfP99Pp7e/txtsXsv+1b2t8Mvr8yReyaZLhIhU7EKm/X1BzyKBN35fBZ5/s9Yxr\ny9t3RmlBpA5RIs0JMTZmQA6ROndbG/z09/bx6F3c5/1xxMtLVL6ZZHAfz48Z9KllJyI9PhuN\niFSGjpmzSB/1u71PcZ/3QKQ2c++1itdupstFCkmtIFIxdONlJyJdf/84nd6Te4RIHYJFen3H\nU7TeDlnGzECkojf3p0hl8JhZi7QSiNQmQKRaodem6YFmDBxze5Eu/f8IFAUiRYBI3f8eT1I7\nU1yLoiGS4zXShEhl+JiIhEhGkS5PkV4dOPA5Y27MwMFaj0kk0qW7tx8iRbELkSb3/Jwbs72h\nIFCky6UnUtgUXIhU3YBIJhApVqTLY9ydiXSp37WWhjERCZEiRLo8r5hQ/7f70Y5Bc8hHpMZn\nvO49iGQHkRCpd8/teXkU6f8mEPd5j55Iv2/7wr79i11eovJNJ5eI1MnaRGq8tQucQ4Yi9e/5\nprSMiUg9kb5+VHvPVjsoRZGofNPJFUWqH/MUqbnJwZtIo6O/vhdDpGA6Ir2fPm47lVeHP0WR\nqHzTSZFIz9VLWPKRKdq/hCYDB9tGpBKRjHREehzHHn2ERqLyTScNX4j2xjyuSBOJEpGsINIr\nG76YhkhFvEhBg6USaXLwkrd2Vobf2sUfv5GofNNJlUjBbxEbs+2s0QzJwMEej1pRpJLPSGa6\nGxvuR7ifY/c7T1S+yWT4W7KBMYvXp4U4kV4RRJoZM4h9iHS9/vpxOv34+IpdXqLyTSYVIlXL\nQKSK8vJYUSNSMHv4QnaxSJfukRFByZqdilS/ZUWkYPYiUoxJ18tjS119lFH4ZnREmlvW4UX6\nWZ+p6Ie3z0hLRGqpFJy8YzyXkAOR6p0aqt2fwsYcWtTRRfp4nPLL01Y7RAofM2Dwh0jfD5k5\nffDEoo4u0rneN+ifq++RZCIFL2REB5tIgYOtLdL9FFz7Fem2B9x9ddH+uYiBL2SbP80kKt9k\ncuciiU+TPDd6+XxAMXc914lFbSRSOUxbpFPd96dr++cyOgv4WV1k8+vD1b52z10LIsZ8iWT5\nWnflNdKaIjXPCelPpLA10vUlUF+BSDpL+Xx8IRt7HEWi8k0mH9+nxox5F+m+BT1HkS6I1Lp7\ngjiRJKf+7un49VF9IRt9Qr1E5ZtMZiNSwMF9uYvUOklxMf98xhblSSSJSrv5HmmRSNbs6LY3\nNyKFrJAugZsx/Yuk/4y0mETlm0w+XkirSduKZBmyuKwjUves+UEiDa62chZpjY0N9Vu7t1/R\ny0tUvskkIoWO2V5in+7VJ/Yp0hqbvz+97v19YxuRWvgWqXcVl52KlILOUt9Ob5/VRc7c7dlw\nQaT5MdtL7NETaebqefdFIVJ/qfd13JenL2Rfr2OEDojUAJHi6X0hWx+J5OkLWUQKHrO9xB7H\nECkNXT3fb6e0+3x7c/QZSSGSdczRe+aWl7NI/QtdXuenOXJmzKOLdGoRsbxE5ZtKLhEpzqPV\nRbo9OE+RCkSqQaSoMUfvSSqScLYDixq48vL8OrsYOaz46CItJlH5ppKDO7uF9BwiNRm6hLkz\nkbYEkaLGHL0nWCTbyOlFGtAoVKTQMcNgjVSRqHxTSUQKHbO9wDaxIo3cj0gLSVS+qeSwSAFN\nl0SkmSXmKtKgR3WyGHr8azmIVIFIUWOO3uNUpKEPSJeXSBOXgEGkml2KFHgakxQizS1xmUhx\nl92YF2lYI0QykGZ/iTUper/fzjXQujksrJ+ObuTGE7OH54cvZx5aFGMjhhZ6FfYkUqL/Dk1Q\n9H4PPbGWozXSpajXSMXzYF4Ds2uksRXSa400+o517HbWSAtJVL4JMhNpZpGLRar72pRdKFK1\nFxAizbBLkQJV8ipSYVwrzYk06tFDpGJ0tNFJINJCEpVvgqL7RzHz+bg55mYiWQcunrO9/zfC\nsFYamG0jPLLBrpGc8Hb3IgX7sVuRws7o40qkxzbJ+2opODspUjmxQkKko4tU/bozkZ6r2Pt/\nJWQizScRSfjAQBKVb4LjihS6jCmRJj3ap0ivswe1T35y/7v1R/Xg+v7TtC+7E6lApLExW4u7\nEyRSKzG8nIAxA1kkUjHMsEjd03LV0vTuvN+PSFNjJhBpepnRIvXezClEmtrQ0En6EMm2Rhr+\n2b2xedO4LnsTqfAhkn1cRLrfPUGkSKfGezdEevz16q/NRJpaaLxI1+5yg79NGhVpRqOjiNS5\nfUyk59u7QRAphunZTq0rxCIFbQRPJ9L48Ii0kETlm6DbXjsV6aIV6ebQrEfzIlnGDGQVkU5d\nkXpv7XobGw4nUjFyx+CY7kUKWdKISPMetUXqjzQxdsYiVRu2W4K8tnT3to037p+WZXciNf6e\n67FUIk2tJ7IRaXKPhoFkMfBtklORQhj0ApFGx/Qk0tC6d8EaKcCjVrK3bWNybERaSKLyTTAl\n0uyXo4lEmt2aFSVSd5SFb+2MYxavDTmPf48l0vR5HhEphjxEujyuIW1NBo/fF6l4pUM280eQ\nh0hmECmG2dmuIdIlXqQSkdS4F6noJj2IFDOsUKQybo10aYk0XV1EWkii8o3TE6lx16xIkR5l\nJVLQZv4WZdRbu2rAlkiWZDiIVJGofONMiTTzdeVBRSrDJzAm0vywiLSQROUb59AiBawausmy\n3K9IW7JnkeZ2oEko0uiStxbpvtk7VqQLIo2wb5GmX+2kIo0semORHl8fRYp0TyJSn72LNL1l\nKeUaaXjZ4s9IQQt7JZ9fwy4SKeSjGSItJFH5xslUpLFGSyBSyK5QdxApGbsWafZLw5QiDS98\nS5Eax8MikhpEiiETkaYGGkg29q9bIlIR8j0wIi0kUfnGyVyk7ggbitTcT3WxSMHXgTKDSBWJ\nyjfOjEjTO5AiknnM4n5kLiK12blIk5vANxIpaP84y5gB+xTesL+zG9nkjkgD7F+kqRN0JBZp\nQJntRIpYIQ2OWby2NxiT8WM2784URIohXqSQ/5qbx5zdg+PSOYWdQKSIZPyYzbszZfciTe73\nllSkgesKhb0tMo8ZIFL7iNhlIoUsAJEWkqh84ywRKdajcJE6b4GKoA/q5jFnd4VSirRxUtyv\nMo4sUrRHVpGK1y3XYn7TsXnMWZG6pyZGJDmIFEOkSMUlnUgTy0SkFUCkGAJFepx35yVSfXY6\ntUgz66Rr75RBiCQHkWLITqTJtRwirQAixWAT6dHkxeW+pRCR4pPifpVxAJFG2ya1SJf76uhx\nHFxhSJrHnHgy/ZNBIpIcRIohSqTCkjSPiUjbgkgxmGZbrCLS+LPpX5Yv+IkjUjCIFINtts39\nGbYQqZdEJD2HEGm4cQKSY1iTry0O64tU9pOIpAeRYrCL9JhDSpGGnyYirQIixYBImyXF/SoD\nkWLIVqT+My0HkoikB6o/8+AAABP7SURBVJFiyFSkoZUSIq2Dd5GKgOTIm569iTS462o5lEQk\nPUcQaaRz1hUpMmkYsxg40qkcSoZv9kekYA4i0lDvrCnSc3xEWpgU96uMA4nU7J/q792J1P8P\nBiKtxTFEuvRFKnYnUjVQ49/LYy87RFqB44oUmBzEnFxZpMdwgyIZDtBFpGAOIlL3O5Y9i/Ta\nRFgOJhEpBUcT6XGMXRGcHCJnkYrn10mPvb4RaQWOK9KqbbKmSI+N7c+jJ67dh2jHXDcp7lcZ\nRxKpcVjQ2iKtlUSkrTiOSPfzkDSuu5phmyxOFs8V7+twPkRagaOI9Lw8VuO8Phm2yeIkIm3E\noUQqDiDS85uklzCtpOmw4Ayfp7hfZRxOpAsiqcdcNSnuVxkHFOnZZRm2yeLkQ6SyRKRVOYxI\nj09Il0OI1Np/tZm0nfAlw+cp7lcZiBRDvsm7P2XR2E8XkVbgOCLVj77/u3ORyptIBSKtCCLF\nkG/y+VVs8bp+DCKtwDFF6jeYjXyTr30aEGlVjihS+pM1bpe8PbP6q1hEWpVjifQI7VekGy+R\n+vsUIlIijinSsjEzT973DUKkVUGkGHJOPvaxK55v7hBpBRAphoyTz31VXxcLvDbO5IBIiXAu\nUhGVPJBIVYVeItk8yvF5ivtVxiFFWjZm1snXwROv3TgQaQUQaV/JcZF65/aTjblqUtyvMhBp\nV8nBy8XeD8NCpJQg0q6SiLQViLSnZN+jp0aPjQ/yMVdOivtVBiLtJ9m/fPmN1/oIkRKCSLtJ\nloMrpMvtHOeIlBxE2k1yWCNEWgdE2ktyzKNb8nHWF8PZioPG3CAp7lcZiLST5LhHN5HuXykZ\nPcrxeYr7VQYi7SM5vKHhmUSk1CDSLpITGr1EMnuU3/NEpIXlGwORahBpaxBpD8lJjxBpDRBp\nD8lAkaRjbpQU96sMRNpBctojRFoDRHKfLKe22CUac7ukuF9lIJL35IxFScbcMCnuVxmI5Dw5\n71FOs12eFPerDETynQzwKKPZCpLifpWBSL6TiJQJiOQ6GeJRPrNVJMX9KgORXCcRKRcQyXMy\nyKNsZitJivtVBiI5ToZ5lMtsNUlxv8pAJL/JQI8yma0oKe5XGYjkN4lIGeFbpO61FtYYM5fk\n3I5BKcbMICnuVxmI5DQZrFEWs9Ulxf0qA5F8Jg0eZTBbYVLcrzLyFmnurDeHFcni0fazVSbF\n/SojY5EKRBpNIlJuIJLHpMmjzWcrTYr7VUa4SOcb95/XgZ81uvIViDSWDN9gpxszl6S2/XUY\nRGr8OPd/3hGUr3j8KObOxNa71HD0mK6SNo22nq04qWt9LVmL9LgI6hjHFMnqkdfnOXJ3pgSL\ndG7+RKTtksb3dZIxM0rqWl9LuEiPj0jX64hI/7shmFJR3P+p/n8txh8oGMwd5dYTgEFsa6QB\ngeRrpPqyWI8LNRYTq6Qi5L9gQWO6SdpXR8vHzCsp7X4hts3f64n0vJg9IjWSMRp5fJ5Td2dK\njiK11Jm49CkirTFmZkld62vJ8a1dx5v7+7w+hxMpziN/z3Py7kwxiTS9saFiefmGpEGkWzLq\nA9LCMbNLSrtfiG3PhqmfNcvLNyjN4DrpYCJFauTuec7cnSn57WuHSIPMnuE7wZg5JsX9KsOJ\nSEO3FkGFDxoz/2TparaItJjl5UOkAUpXs02ZFPerDETykCw3GDPTpLhfZSCSg2S5wZi5JsX9\nKiM7kUb2Y+jeXBxIpHKDMbNNivtVhheRurcfSKQSkZp3Z4pTkYrjiPTY6u1jtsmT4n6V4VWk\n1zdLGb7YymSJSO27MwWRMk8+v4Z1Mdv0SXG/ykCkvJOv3Rk8zHaFpLhfZbgVKbTwIWPmm2zs\nFuRgtmskxf0qA5GyTiJS7+5McSNS52i/4MKHjJlrsrWfavazXScp7lcZiJRvsr27d+6zXSkp\n7lcZuYk0fvKtw4nUOWwi89mulRT3qwxEyjXZPfwo79mulhT3qwxEyjTZO44v69mulxT3qwxP\nIr3OzLV/kfqHw+Y82xWT4n6V4VKk1oMyfLGXJweOK894tmsmxf0qw49IjdNy7V6kodMz5Dvb\nVZPifpXhSaQLIiUc00lS3K8yXIn0OJvQzkUaPl9QrrNdOSnuVxmZiTR1XbGHSMW+RfrWCJEm\n7s4UbyLdPintWqTRs9dlOdv1k+J+leFIpPsjEEk+pqekuF9luBNp52/txk+nmuNsN0iK+1WG\nR5HaD8rwxY5PTpyWOMPZbpEU96sMhyJd9ivS1Om985vtJklxv8rIS6Qgj/Yr0uR58rOb7TZJ\ncb/KQKR8ktOXm8htthslxf0qA5GySc5ctyWz2W6VFPerDETKJTl3+aO8ZrtZUtyvMrISKcyj\noWT8mLkkZ68jltVst0uK+1UGIuWRnL8cX06z3TAp7lcZiJRFMuCylhnNdsukuF9lIFIWSUQK\nTYr7VQYi5ZAMuc5yPrPdNCnuVxmIlEMSkYKT4n6VkZNIUR7l+GIbk7Mb7BKM6TYp7lcZiLR1\ncuxAvpRjOk6K+1UGIm2cDJJIPKbnpLhfZSDStslgj7KYbQZJcb/KQKQtk2GfjrRjOk+K+1UG\nIm2VLC2rI9GYO0iK+1VGRiLFeZTjix2QrDYxIJI9Ke5XGYi0SbJ8/rPemPtIivtVBiJtkbQp\npBlzJ0lxv8pApA2SMR55fJ4pkuJ+lYFIqyctm+pUY+4nKe5XGYi0djJOI3/PM1FS3K8yEGnd\nZOTqaNGYu0qK+1VGPiJFepTjiz1O6Wq2OSbF/SoDkVZNItLSpLhfZSDSmsnS1WyzTIr7VQYi\nrZgsEWlxUtyvMhBptWS1ncHNbHNNivtVBiKtlSw3GHOHSXG/ykCklZIlIkmS4n6VgUjrJB/f\nH/mYbcZJcb/KyEakWI9yfLEHeHwP62O2GSfF/SoDkVZJPvdncDHbnJPifpWBSCskyxKRVElx\nv8pApPTJ5u51+c8286S4X2UgUvJkazfV7Gebe1LcrzIQKXWyRCRlUtyvMhApcbJz2ETms80/\nKe5XGYiUNtk9/ijv2TpIivtVBiIlTfYO48t6th6S4n6VgUhJk4ikTor7VUYuIkV7lOOL/aR/\nXHnOs3WRFPerDERKmBw4P0PGs/WRFPerDERKlhw8z0m2s/WSFPerDERKlRw+XVCus3WTFPer\nDERKlUSkJElxv8pApETJkfPXZTpbP0lxv8pApDTJsfNA5jlbR0lxv8pApCTJ0fOpZjlbT0lx\nv8pYV6RxXfYkUjlxYuL8ZussKe5XGYgkT05eiS+72XpLivtVxsoijfqyK5HWH/M4SXG/ykAk\ndXL6chO5zdZdUtyvMlYVqRjxpRi7I4TMXuyZy7ZkNlt/SXG/ylhZpGFhiqLI8CWLSs5d/iiv\n2TpMivtVxvoiDai0F5HK+cuIZTRbn0lxv8pAJGEy4HJ8Gc3WZ1LcrzIQSZWc+vYo1ZgHTIr7\nVcaKItWb7Kp/2zLd/MrwJTMmy4A3dvnM1m1S3K8yVt9FqOhvctiFSOX8hgb5mEdMivtVxkYi\nFe2b9iHS6mMeMSnuVxkZiFTsQaRAjzKZreOkuF9lbLD39w5FCvl0pB7zoElxv8rYRKTWprsi\nbeGTJ8M2MmjHPHBS3K8yNhKpYZJzkQwSycY8clLcrzIQaUly8oiJRGMePCnuVxlbHCFbNER6\nfFrK8CWbT4Z9B6sd8+hJcb/K2FikwrlI64959KS4X2VsItLlubfQc7NDhi/ZbDLCI5fPM6uk\nuF9lbCXSbV3U3HiX4Us2kzS/qxOMSRKRunR2FMrwJZtORmnk8HnmlhT3q4xcTseV4Us2mYxb\nH/l7ntklxf0qA5GikpEauXue+SXF/SoDkWKI9sjZ88wwKe5XGYgUQelqtvtKivtVBiLZKV3N\ndmdJcb/KQCQzpavZ7i0p7lcZiGSlRKQtk+J+laEWae+U5dYzgCxhjWSi3GBMkq27MwWRLDw2\ne/uY7S6T4n6VgUgGnl8fuZjtPpPifpWBSME09gpyMNu9JsX9KgORQmnuzZD/bHebFPerDEQK\npLVXUPaz3W9S3K8yECmM9t51uc92x0lxv8pApBC6B03kPdtdJ8X9KgORAujt7J31bPedFPer\nDESap3/QRM6z3XlS3K8yEGmWgYOPMp7t3pPifpWBSLMgUk5Jcb/KQKQ5ho6GzXe2u0+K+1UG\nIs0weFR5trPdf1LcrzIQaZKRkwVlOtsjJMX9KgORJhg951aWsz1GUtyvMhBpnPFzBeU424Mk\nxf0qA5FGmTjnVoazPUpS3K8yEGmMqXPX5TfbwyTF/SoDkUaYPAdkdrM9TlLcrzIQaZCZU3tn\nNtsjJcX9KgORBpg9Q35Wsz1WUtyvMhCpR8CFJjKa7dGS4n6VgUgtyrDLK2cy2yMmxf0qA5Ga\nlIEXmshjtodMivtVBiI1CL56WBazPWZS3K8yEOlBabgI3/azPWxS3K8yEOmO6dphm8/2uElx\nv8pApBrbNfi2nu2Bk+J+lYFIFcZrWWbYYEdJivtVBiJdDBsZhGOSjEuK+1UGIsVcWjnDBjtK\nUtyvMhAJkVwlxf0qA5HM7+sEY5KMTor7VcbhRYrQKMsGO0pS3K8yji1S6C5ByjFJLkqK+1XG\nkUW67aEa5VGODXaUpLhfZRxYpDLDNiGJSDWJyqdPfq+LMmwTkohUk6h86mT1li7DNiGJSDWJ\nyqdOlhuMSVKRFPerjGOKVCKS16S4X2UcUqRygzFJapLifpVxQJGem7wzbBOSiFSTqHzC5Oub\nowzbhCQi1SQqnyzZ/AY2wzYhiUg1iconSrZ3ZMiwTUgiUk2i8kmS3f2BMmwTkohUk6h8gmR/\nt7oM24QkItUkKt/i5NDeqRm2CUlEqklUvqVJLqm8l6S4X2UcQyQuqbybpLhfZRxBpLGDjjJs\nE5KIVJOofAuS48fuZdgmJBGpJlH5opNTh8Bm2CYkEakmUflik1wJdm9Jcb/K2LNIc9eXyLBN\nSCJSTaLyxSRnz2uSYZuQRKSaROWzJ7kS7D6T4n6VsVORgk6zlWGbkESkmkTlsyUDz1aXYZuQ\nRKSaROWzJLkS7J6T4n6VsTeRuBLszpPifpWxK5EsFqnGJLluUtyvMvYkEtfdO0BS3K8ydiOS\ncW0kGZPk+klxv8rYiUhRV5XIsE1IIlJNovLNJLk4y2GS4n6VsQORIt7ULR6T5FZJcb/KcC5S\n9KXCFoxJcsukuF9luBapLLnK0dGS4n6V4Vik+7oowxebJCItJVH5+nAq/GMmxf0qw6VIZXP7\nQoYvNklEWkqi8r0ouxvpMnyxSSLSUhKVr6LsSRSajB+TZGZJcb/K8CMSZ6cjeUGkheXj7HQk\n73dnigeRBt/RBSXjxySZaVLcrzLyF2lu14UMX2ySiLQUbfmm10VTyfgxSWadFPerjGxFGt5E\nF5KMH5Nk/klxv8rIUaRgh3rJ+DFJOkmK+1VGZiLZHGom48ck6Skp7lcZuYhUlhEO1ZWNHZKk\nx6S4X2XkINLNoAxfMpI5JsX9KmNbkV6roQxfMpI5JsX9KmMjkXrv5DJ8yUjmmBT3q4wNRGLX\nU5LxSXG/ylhbpLENChm+ZCRzTIr7VcaKIk1ulsvwJSOZY1LcrzJy2GoXUD6SJO93ZwoikXSV\nFPerDEQi6Sop7lcZiETSVVLcrzIQiaSrpLhfZSASSVdJcb/KQCSSrpLifpWBSCRdJcX9KgOR\nSLpKivtVBiKRdJUU96sMRCLpKinuVxmIRNJVUtyvMhCJpKukuF9lIBJJV0lxv8pAJJKukuJ+\nlYFIJF0lxf0qA5FIukqK+1UGIpF0lRT3q4zlIp2/ef2VqHwkSd7vzpTFIp2f/1QkKh9Jkve7\nMwWRSLpKLu3XVCASSVfJpf2aCqFI/7uxdHEALmGNRNJVcmm/pgKRSLpKLu3XVCASSVfJpf2a\nCkQi6Sq5tF9TgUgkXSWX9msq2LOBpKvk4n5NBPvakXSVFPerDEQi6Sop7lcZiETSVVLcrzIQ\niaSrpLhfZahFimWLfYsYc19jbgoiMeZextwURGLMvYy5KYjEmHsZc1NyEQnANYgEIACRAAQg\nEoAARAIQgEgAArYUqT764n4Yxvnc+GWlMXs/9zLm2Fhrjtl93jtnQ5HOr2MCH5U+9w4UTDpm\n9+dexhwba80xB1/fHbOdSOdrr9Dna+LCd8ZcRaQNxsxCpIHXd89s/tZuVZGu6zf1RmOuLlJ3\nzOvA67tnchJpjcIjEiIlIQuRzhuI1NywseaYzZ8pG6z5vNYSqVNLRFqJe7nP57XXSI8x11wj\nPZ9nZ+yUgyLSemwv0vO3bvXTj7mqSM3f9vl2cou36tmwuUjj1U8/5n4/I7VrucWY1/5Lu2sQ\naY8indsDbzHmtf/S7prNRXp98/14JXa2l8EGY/b2EtlizN7ru2/Y1w5AACIBCEAkAAGIBCAA\nkQAEIBKAAEQCEIBIAAIQCUAAIm3AqVX130f44n/3INIGtEU68RrsAF7EDUCk/cGLuC6fb6ef\ntTp/f55O54+bR9WfX++n0/vX1tODWBBpVb7O39r8vJnz51Tx8RDpdsfpx9bzg1gQaVU+Tm/X\nr7ebOT9O/12v/26/VR79+lbq+97fW08QIkGkVflx+vx+e1d/Kvr88+vtKdKP6qbvt33gE0Ra\nlVqh6t+3+r3d/a/T6fEnuIRXblVeIr2ffvz+84lIe4FXblVeb+3qTXWdt3bgFl6/Vfl1evu6\n3j8Z/b1vdqhE+rhtbPjv9Lb1BCESRFqV1+bvj9PrM9L5fsfp9G/rCUIkiLQunz8fX8i+n05v\nf2+//b6JdP2s/t56ehALIgEIQCQAAYgEIACRAAQgEoAARAIQgEgAAhAJQAAiAQhAJAABiAQg\nAJEABPw/WtjX55xl7WgAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Approach 1:\n",
    "data(economics, package=\"ggplot2\")  # init data\n",
    "economics <- data.frame(economics)  # convert to dataframe\n",
    "# 展示数据\n",
    "head(economics)\n",
    "\n",
    "# 画图\n",
    "ggplot(economics) + \n",
    "# 画线条\n",
    "geom_line(aes(x=date, y=pce, color=\"pcs\")) + \n",
    "geom_line(aes(x=date, y=unemploy, col=\"unemploy\")) + \n",
    "# 设定颜色\n",
    "scale_color_discrete(name=\"Legend\") + \n",
    "labs(title=\"Economics\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "方法2：通过将id设置为date字段，使用reforme2：：Melt融合数据帧。然后只需添加一条geom_线，并将颜色美学设置为variable（这是在融化过程中创建的）。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "\"package 'reshape2' was built under R version 3.6.1\"\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 × 3</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>date</th><th scope=col>variable</th><th scope=col>value</th></tr>\n",
       "\t<tr><th scope=col>&lt;date&gt;</th><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>1967-07-01</td><td>pce</td><td>506.7</td></tr>\n",
       "\t<tr><td>1967-08-01</td><td>pce</td><td>509.8</td></tr>\n",
       "\t<tr><td>1967-09-01</td><td>pce</td><td>515.6</td></tr>\n",
       "\t<tr><td>1967-10-01</td><td>pce</td><td>512.2</td></tr>\n",
       "\t<tr><td>1967-11-01</td><td>pce</td><td>517.4</td></tr>\n",
       "\t<tr><td>1967-12-01</td><td>pce</td><td>525.1</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 3\n",
       "\\begin{tabular}{r|lll}\n",
       " date & variable & value\\\\\n",
       " <date> & <fct> & <dbl>\\\\\n",
       "\\hline\n",
       "\t 1967-07-01 & pce & 506.7\\\\\n",
       "\t 1967-08-01 & pce & 509.8\\\\\n",
       "\t 1967-09-01 & pce & 515.6\\\\\n",
       "\t 1967-10-01 & pce & 512.2\\\\\n",
       "\t 1967-11-01 & pce & 517.4\\\\\n",
       "\t 1967-12-01 & pce & 525.1\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 3\n",
       "\n",
       "| date &lt;date&gt; | variable &lt;fct&gt; | value &lt;dbl&gt; |\n",
       "|---|---|---|\n",
       "| 1967-07-01 | pce | 506.7 |\n",
       "| 1967-08-01 | pce | 509.8 |\n",
       "| 1967-09-01 | pce | 515.6 |\n",
       "| 1967-10-01 | pce | 512.2 |\n",
       "| 1967-11-01 | pce | 517.4 |\n",
       "| 1967-12-01 | pce | 525.1 |\n",
       "\n"
      ],
      "text/plain": [
       "  date       variable value\n",
       "1 1967-07-01 pce      506.7\n",
       "2 1967-08-01 pce      509.8\n",
       "3 1967-09-01 pce      515.6\n",
       "4 1967-10-01 pce      512.2\n",
       "5 1967-11-01 pce      517.4\n",
       "6 1967-12-01 pce      525.1"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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DP4P2fDgEiBKnkVqTRuleZEGvXoIVI5OtroJBBpIYnKN0HZ/aWceX3cHHMzkawD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\nACIBCEAkAAGIBCAAkQAE/D9owND7AqAlnAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Approach 2:\n",
    "library(reshape2)\n",
    "# 融合数据\n",
    "df <- melt(economics[, c(\"date\", \"pce\", \"unemploy\")], id=\"date\")\n",
    "head(df)\n",
    "\n",
    "# 绘图\n",
    "ggplot(df) + \n",
    "geom_line(aes(x=date, y=value, color=variable)) + \n",
    "labs(title=\"Economics\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "ggplot2的缺点是不可能在同一图上获得多个Y轴。以相同的比例绘制多个时间序列会使序列中的几个看起来很小。一个替代方法是facet_wrap设置它scales='free'。\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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6l/SullQiA1zisMKZBqIAHpkQFIgwN2DKlpgJQQa86B1BswH9L7HoFUQICkqZkK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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df <- melt(economics[, c(\"date\", \"pce\", \"unemploy\", \"psavert\")], id=\"date\")\n",
    "ggplot(df) + \n",
    "geom_line(aes(x=date, y=value, color=variable)) +\n",
    "facet_wrap( ~ variable, scales=\"free\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.3 条形图  \n",
    "默认情况下，ggplot会制作一个“计数”条形图，这意味着它会计算x美学指定的项目的频率并对其进行绘制。使用这种格式，您无需指定Y学。但是，如果您要制作Y给出的绝对数的条形图，则需要stat=\"identity\"在内进行设置geom_ba。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 6 × 11</caption>\n",
       "<thead>\n",
       "\t<tr><th></th><th scope=col>mpg</th><th scope=col>cyl</th><th scope=col>disp</th><th scope=col>hp</th><th scope=col>drat</th><th scope=col>wt</th><th scope=col>qsec</th><th scope=col>vs</th><th scope=col>am</th><th scope=col>gear</th><th scope=col>carb</th></tr>\n",
       "\t<tr><th></th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th><th scope=col>&lt;dbl&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Mazda RX4</th><td>21.0</td><td>6</td><td>160</td><td>110</td><td>3.90</td><td>2.620</td><td>16.46</td><td>0</td><td>1</td><td>4</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>Mazda RX4 Wag</th><td>21.0</td><td>6</td><td>160</td><td>110</td><td>3.90</td><td>2.875</td><td>17.02</td><td>0</td><td>1</td><td>4</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>Datsun 710</th><td>22.8</td><td>4</td><td>108</td><td> 93</td><td>3.85</td><td>2.320</td><td>18.61</td><td>1</td><td>1</td><td>4</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>Hornet 4 Drive</th><td>21.4</td><td>6</td><td>258</td><td>110</td><td>3.08</td><td>3.215</td><td>19.44</td><td>1</td><td>0</td><td>3</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>Hornet Sportabout</th><td>18.7</td><td>8</td><td>360</td><td>175</td><td>3.15</td><td>3.440</td><td>17.02</td><td>0</td><td>0</td><td>3</td><td>2</td></tr>\n",
       "\t<tr><th scope=row>Valiant</th><td>18.1</td><td>6</td><td>225</td><td>105</td><td>2.76</td><td>3.460</td><td>20.22</td><td>1</td><td>0</td><td>3</td><td>1</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 6 × 11\n",
       "\\begin{tabular}{r|lllllllllll}\n",
       "  & mpg & cyl & disp & hp & drat & wt & qsec & vs & am & gear & carb\\\\\n",
       "  & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl> & <dbl>\\\\\n",
       "\\hline\n",
       "\tMazda RX4 & 21.0 & 6 & 160 & 110 & 3.90 & 2.620 & 16.46 & 0 & 1 & 4 & 4\\\\\n",
       "\tMazda RX4 Wag & 21.0 & 6 & 160 & 110 & 3.90 & 2.875 & 17.02 & 0 & 1 & 4 & 4\\\\\n",
       "\tDatsun 710 & 22.8 & 4 & 108 &  93 & 3.85 & 2.320 & 18.61 & 1 & 1 & 4 & 1\\\\\n",
       "\tHornet 4 Drive & 21.4 & 6 & 258 & 110 & 3.08 & 3.215 & 19.44 & 1 & 0 & 3 & 1\\\\\n",
       "\tHornet Sportabout & 18.7 & 8 & 360 & 175 & 3.15 & 3.440 & 17.02 & 0 & 0 & 3 & 2\\\\\n",
       "\tValiant & 18.1 & 6 & 225 & 105 & 2.76 & 3.460 & 20.22 & 1 & 0 & 3 & 1\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 6 × 11\n",
       "\n",
       "| <!--/--> | mpg &lt;dbl&gt; | cyl &lt;dbl&gt; | disp &lt;dbl&gt; | hp &lt;dbl&gt; | drat &lt;dbl&gt; | wt &lt;dbl&gt; | qsec &lt;dbl&gt; | vs &lt;dbl&gt; | am &lt;dbl&gt; | gear &lt;dbl&gt; | carb &lt;dbl&gt; |\n",
       "|---|---|---|---|---|---|---|---|---|---|---|---|\n",
       "| Mazda RX4 | 21.0 | 6 | 160 | 110 | 3.90 | 2.620 | 16.46 | 0 | 1 | 4 | 4 |\n",
       "| Mazda RX4 Wag | 21.0 | 6 | 160 | 110 | 3.90 | 2.875 | 17.02 | 0 | 1 | 4 | 4 |\n",
       "| Datsun 710 | 22.8 | 4 | 108 |  93 | 3.85 | 2.320 | 18.61 | 1 | 1 | 4 | 1 |\n",
       "| Hornet 4 Drive | 21.4 | 6 | 258 | 110 | 3.08 | 3.215 | 19.44 | 1 | 0 | 3 | 1 |\n",
       "| Hornet Sportabout | 18.7 | 8 | 360 | 175 | 3.15 | 3.440 | 17.02 | 0 | 0 | 3 | 2 |\n",
       "| Valiant | 18.1 | 6 | 225 | 105 | 2.76 | 3.460 | 20.22 | 1 | 0 | 3 | 1 |\n",
       "\n"
      ],
      "text/plain": [
       "                  mpg  cyl disp hp  drat wt    qsec  vs am gear carb\n",
       "Mazda RX4         21.0 6   160  110 3.90 2.620 16.46 0  1  4    4   \n",
       "Mazda RX4 Wag     21.0 6   160  110 3.90 2.875 17.02 0  1  4    4   \n",
       "Datsun 710        22.8 4   108   93 3.85 2.320 18.61 1  1  4    1   \n",
       "Hornet 4 Drive    21.4 6   258  110 3.08 3.215 19.44 1  0  3    1   \n",
       "Hornet Sportabout 18.7 8   360  175 3.15 3.440 17.02 0  0  3    2   \n",
       "Valiant           18.1 6   225  105 2.76 3.460 20.22 1  0  3    1   "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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+eOGysbkve8njturGxI3vN67rixcnFIIpkYkkgBhiRSgCGJFGBIIgUYkkgBpSG9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\nwJBECjAkkQIMSaQAQxIp4P8BdTbENR7A8OwAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 显示数据\n",
    "head(mtcars)\n",
    "plot1 <- ggplot(mtcars, aes(x=cyl)) + \n",
    "# 画柱状图\n",
    "geom_bar() + \n",
    "# Y axis derived from counts of X item\n",
    "labs(title=\"Frequency bar chart\")  \n",
    "print(plot1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<caption>A data.frame: 3 × 2</caption>\n",
       "<thead>\n",
       "\t<tr><th scope=col>var</th><th scope=col>nums</th></tr>\n",
       "\t<tr><th scope=col>&lt;fct&gt;</th><th scope=col>&lt;int&gt;</th></tr>\n",
       "</thead>\n",
       "<tbody>\n",
       "\t<tr><td>a</td><td>1</td></tr>\n",
       "\t<tr><td>b</td><td>2</td></tr>\n",
       "\t<tr><td>c</td><td>3</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "A data.frame: 3 × 2\n",
       "\\begin{tabular}{r|ll}\n",
       " var & nums\\\\\n",
       " <fct> & <int>\\\\\n",
       "\\hline\n",
       "\t a & 1\\\\\n",
       "\t b & 2\\\\\n",
       "\t c & 3\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "\n",
       "A data.frame: 3 × 2\n",
       "\n",
       "| var &lt;fct&gt; | nums &lt;int&gt; |\n",
       "|---|---|\n",
       "| a | 1 |\n",
       "| b | 2 |\n",
       "| c | 3 |\n",
       "\n"
      ],
      "text/plain": [
       "  var nums\n",
       "1 a   1   \n",
       "2 b   2   \n",
       "3 c   3   "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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xWkCwhJTnrtVpAuICQ56bVbQbqAkOSk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\nAQggJAABhAQg4P8AXSJSoCIIrtYAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df <- data.frame(var=c(\"a\", \"b\", \"c\"), nums=c(1:3))\n",
    "# 显示数据\n",
    "df\n",
    "# Y axis is explicit. 'stat=identit\n",
    "# 显示y\n",
    "plot2 <- ggplot(df, aes(x=var, y=nums)) + \n",
    "geom_bar(stat = \"identity\")\n",
    "print(plot2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.4 自定义布局\n",
    "gridExtra软件包提供了在单个网格中配置多个ggplots的功能。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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HTgQAJS+0t0OTSQtG09jgckoSIuEJCm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\nUQvU/wHXLWnLkildSQAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(gridExtra)\n",
    "# 分配图像\n",
    "grid.arrange(plot1, plot2, ncol=2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.5 翻转坐标轴"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df <- data.frame(var=c(\"a\", \"b\", \"c\"), nums=c(1:3))\n",
    "ggplot(df, aes(x=var, y=nums)) + \n",
    "geom_bar(stat = \"identity\") + \n",
    "# 翻转坐标轴\n",
    "coord_flip() + \n",
    "labs(title=\"Coordinates are flipped\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.6 调整X和Y轴范围\n",
    "有3种方法可以更改X和Y轴范围：\n",
    "1. Using coord_cartesian(xlim=c(x1,x2))\n",
    "2. Using xlim(c(x1,x2))\n",
    "3. Using scale_x_continuous(limits=c(x1,x2))\n",
    "\n",
    "第 2项和第3项将从数据本身中删除超出限制的数据点。因此，如果添加任何平滑线等，结果将失真。项目1（coord_cartesian）不会删除任何数据点，而是会放大到图表的特定区域。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = \"cs\")'\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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AMSkdTpeJB0jnRGPQ9IY6FvEwuY6YGE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\nug5nWFA91eCKFKR9DBWkDHq0IZkT0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ZcnpnQYYK0lFKauZf45Hdv/xa7BU3U1Bw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\nCPgASwQae0XZU0UAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(diamonds, aes(x=carat, y=price, color=cut)) + \n",
    "geom_point() + \n",
    "geom_smooth() + \n",
    "# 设置y轴范围\n",
    "coord_cartesian(ylim=c(0, 10000)) + \n",
    "labs(title=\"Coord_cartesian zoomed in!\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = \"cs\")'\n",
      "\n",
      "Warning message:\n",
      "\"Removed 5222 rows containing non-finite values (stat_smooth).\"\n",
      "Warning message:\n",
      "\"Removed 5222 rows containing missing values (geom_point).\"\n"
     ]
    },
    {
     "data": {
      "image/png": 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AVNEg+QZKsxRRIOlcI/wtH5fIRIXPfPP2kzJN2t/65R+vc4R9eBpCgaNUgGUmMg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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(diamonds, aes(x=carat, y=price, color=cut)) + \n",
    "geom_point() + \n",
    "geom_smooth() + \n",
    "# 设定范围\n",
    "ylim(c(0, 10000)) + \n",
    "labs(title=\"Datapoints deleted: Note the change in smoothing lines!\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.7 等坐标轴\n",
    "添加coord_equal()到ggplot会将X和Y轴的限制设置为相等。下面是一个无意义的示例"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = \"cs\")'\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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y1EdxWk88kgddp6XwatviCQgh0wIVxE2SU5K1vgJCFOZTCEWL7d9+3UKLlsq1JQ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\n14MocuJgmNrCnkOhNTiqjhL3ubGsNonFod13Db3W1iFIn1BQJ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iTLiiRGhWlnpTVIXEgEy8/6fPQLdYOBSr1McpDQA6grkPxEVfETBylZ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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(diamonds, aes(x=price, y=price+runif(nrow(diamonds), 100, 10000), color=cut)) + \n",
    "geom_point() + \n",
    "geom_smooth() + \n",
    "coord_equal()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.8 变更主题"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "除了基本的ggplot2主题外，您还可以使用这些内置主题之一来更改绘图的外观。\n",
    "1. theme_gray()\n",
    "2. theme_bw()\n",
    "3. theme_linedraw()\n",
    "4. theme_light()\n",
    "5. theme_minimal()\n",
    "6. theme_classic()\n",
    "7. theme_void()\n",
    "\n",
    "[ggthemes软件包](https://github.com/jrnold/ggthemes)提供了模仿知名杂志和软件的其他ggplot主题。这是一个如何更改主题的示例。\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = \"cs\")'\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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4q3R9smVYBykLVK001YuxhMUOAlsLjOtmOMKGk1hsuEo0TLFEmM0qLVIdJnI0bf\nfZ4HaYojjtqt56gK0qK/pIGUdI8xUuIo6/Myw6MoybDg6nR5opDPSaqZJu9wRlbqMBBHpxMz\nCeCcFUc09gcv77vPBS2MEnfwOkrTv4Ss2759lzgaB2maI5hHWhlmGAFp6R/SQEq6S2ZD4igL\nbg9Byonwvpa02qmDckJ+P4cV8XxDid/tmTiim0GkoQcJsHkDjt7eMYLXH/su4yQ5eKOG430e\npLzj5s3HQJrjqAdpE0cDkBb/HQ2kpPst7CtQURxpx01LV+rOTJIuaVIFyXlKIcIxUvsWAB/g\nSJZPUC7Od999B0N/jIS/xajEq7I+nxNJ06Hw8RShot+WrUdAmuXon2+bMCpBWvlnHJWBtFwf\nAlJmeOSzrhvL/g40SZshld+uTckMiaPTBTzCE3PEOd6fv4tCjshJKzGaR+nzCEiDTlxpWgdp\nnqP4zbZwlIG0+s84KgNpua5pKJsQkdQ0bTI86qOOdr4MTvJVS5IgtF3hqGu9o6rhcT6JODo5\nHCwxR5Tk3f/7XRyx/PzzRUY7vX1aTdLnAqRaD643rII0TxH8X8QWjhRI6/+M4zKQluuKhsSK\nOkZuXXzpqU6Q+iCSRMvyhnaJpoc8k8TN5NItFTzBK50Cj488LeiTnIfUc3+muEE2V7oGpZ+k\nW9a77yiBNZCWYOSllNhGkDb8GSdkIC3X9oacrqOO8VzOQAok3u615t/5fPGETnRoIkmwloI5\nCifw9QAjnwt7LoUWvv322+84e6fS96dI+qnvmeOddxSjKkiLKPKLdzWvgrTlzzj1oYG0XJsb\nhhpI+kjV6ePC35w5R14cmySnr5Al9HmuVuyZo0hPxOhUYoQoEUY/9xxRtx7p/+NG6Z9//zy6\nxGKCoipICyDy3323eFfzCkjb/owGUtK96tpV9iDPOSpJ6ij4JttOiG9IPclNgIQrZGEOCTmC\nGyiOKHlBumVcBotd9e/w72fBqYpSra//PSNwEUIjIM1CBBgt3dW8BtLGv6OBlHQ3kMLQjfNc\ngDuEAUn0I6TtW6T9FEh4kZaLnvQ6C0cxVRUp+kdU2T2Zh0m3Kipeq3L478zBOoyGIC2gCDja\nDNLH/P0NpOW6CiQGRb+goyVIJIIDSwx7CUgISE5bOQl4969bmEGCMdJZGaSff0Zj9A9S7Iy9\nJcpJqoD0t6iCpCFKf08orKBoCNIkRfEdc7QRpI/6+xtIy3XFGCnHJ72aBakRjmSQxBxxvTo5\nmy/TtlCYmJMmYpCux+gH5ujPQtIfUdxTI1s1i/Q31F/+8hdkqkrS3zUFiykqQZqjCDBCjjaB\ndNWf0UBKulfUbmiG0suMKNVKnDp2Dfk8z+UeM5LSdRyQJI6dczBxxIOjP/+Zc1MJI9Vf/xFB\n+p//+Z8aSX/5C5P0N7jP33L9b9ZiI0jjGNF7xdEGkK79M059aGoLzIAAACAASURBVCAt1zUl\ni/VGeNokDSyTaqU27EsWKVASbOnbaZB6klrmKJwcFjdBjjAvCDiKgbo/Drps5KhG0l/+okj6\n25Ck/y0J3ADSDEXKrdsC0tV/RgMp6X7luPxwa7AaR4qk4CURzyuQZA8xdVm5Hsb1EDE0ZVRT\nFRK/TzAvi+KMutgl//znP//zH/+QK1ZJykEakvS/QwLXglSFyKuDGUcrQbr+z2ggKd0bpGFK\nzzhIXpZMOAWSK0BKV6IgX9wfKTZxEGT4+QTJqgOOUNh//xwVB02KpAEGf85BGpD0v//zP0Nb\ntgqkCkQZRgVH60Da4c9oICndHaTBQrwpkALl+SiT5AqQ1JVkLglLfzteyzfOEeqHH4QkYenb\nYYeP5/xFkVOQVAVpCUkM0gxFA47WgLTLn9FAUroLSFRDof7hcNDEwjQ7xMnxunNHJHVDkgSk\nFgN9EaQfgCMA6fPPP5++/RYGSdGry2E6naJzB/oWr1slCb28Kkl1kBaQ9FPCaJShf+ZhBtTC\n/WYGeQwG0g66D0hSajUDpRgiDS2SJKvyHBG9xPJaJUgpuaEFkho0SPEYBr5jwSCINsDwCIIO\nGUq9/vGP/oxvuTOXXZ57cJWkyhhpGUsAUmaIhhTVOPrzD8u2QNvtz2ggKd2lHBdN+hQmB99M\ngRTEHKm8Ven5qd/RbQSkEFe8AUdICiQ0/PzzhSqbJI6wJ2uSQGmStmSpQCkolAZRu6Uo/eT9\nHEVDty4GSJZtJrjbn9FA0roPSBiqHoTslPIjcEIj21bSKGmGJAVSaBG9n+HIWzRIlwvG75Cj\nz7QWKW6FRCtlNUm9fJ0l6ccDkv73n1MaxWieoTpHC0Ha8c9oIGndCSTs7jWQBlkP/B4CCumI\n+Hls30ZIoutgPgQYmre3eMbF0VokvQD222+FJCwjNM9S6smFezcNUh2lJQyNcLQIpF3/jAaS\n1h2DDcNJJHxTent0GENz0bJQpEHKFFPuT6QmX57hONk14AgpBulOWIHrcnKwudgZ69ApjoAk\n7pCfYRBVY0lwUn05I2kOpH+OITQDUW14hCTNjZH2/jM+PUif8N8o+tlVfqLuU44rkhSr7GRj\noMyP6xioDCQ2K2yTUoodW7MMJJRzYrwgOQhOONEOY1LPsWfpZwZJut7b23c/0GaXf6yy1MP0\nA8buEkrk3s2CxCzlF/Sz+eYjHM1F7Xb/Mz49SMQJ0fKJ/il/ku5W1w7LVSlukvlRb7XV4umi\n5NvhvkcSekhr/IoUPY+bzMYww8V7MEgOd0GK7XkPhwuBlDZHgWXm+e5EFZhO336rerOQtAAk\nplph+c/ZhRtjGE3PI33An/HZQfrUHQgkpeTGBd/lnh5HG5gjpzlq2Cg5WTGo7RpZJPQDXy8y\nlRtXIwFHFwHpcumZoHexUAOVEh7uMFbaJioqmaM0DVIqRandRPATp0Ea52gcpI/5Mz47SAUr\nDwhSN8NRyMdPEQE4xfPm5Y7tjiIJAwt6UCVi36736xoE6exlfHQ59+jA4CKGHvoxVLJFRXH7\niehAwuKMKMXbTdGjVUYuJkGa4GgUpI/6M34lIPEQiY4MQfoD6Ms91Hfg8lAOkuf3/SfASDzF\nedltDzkKtIacQdIX0dfm7WDOHh27WJv4l1+Eo1+gP//yy4Xa/fKL5ujtl14/jQmTyP2Ajnip\nOjdKf0fJxf4+q8jR6Ic//VLTbf6iQz0NSPTPI1qkWsOcIzVZm6aDKCFCzSHxiInPCVJiKLt2\ngyeJLxZ8/D/qyFHc0YW7tRqxtZlBihq1STSE6g3Ct2tIKoyJDv+NW6TRMMO4Rbr1nzHpWUDi\nV0cBiQo58OgnbuKC3TqBlMoyJI5SPC7WaA1MUn5prHziPO7Y7C+RoxNyJOLtoeHeMROiZ+gc\n7RF3yQmSNAZTJE35bCmMPgrSDEcVkO7wZxQZSMu1u0XyUuYxzaZmIKXyQYmjlkDynaQ+FGVV\nKG1c1I+HTrGOKlcrxhF/yo5Aktr4ga7nOz5U0iSB/l+veNNvhxqhIFWBGAFpDqMKSHf4MyY9\nC0gHc+2SV6cWjgM+GEuIsQnPQewg80WxTcsZQh0PnAbliWKz11bMGZX1lvL5BUdEUgfIAUiv\nr6/zKJUg/T8IOFRQqiCFWRFTIM1zVIJ0jz+j0jOBNB1sAD0eSFJwmEGSnTI52CArJtAAtcQA\n7PBCHAwv7jRHF3DsBCThKIEkV/mCHL2+Ylx8jUn6f0XoboKpvymSqiAt4CgH6aq/xh4NnwWk\n0YyG+2c2zIBUjIzSrJOjmHeokaQropQkRY7OMoMU+WGOTjQ6YjFIicf+UWljF5phWk5SveLd\nDE5VkJZglIF05V9jj4ZPANIa3R+koFK9CY3YhWWMlGaduChxqmUHpzcNVPbOwn7Z3cAgYbiB\nQIKEBtwAiTgKmiRt2b50vsE9kk7rSIo8VEmaQwomezdwpEC6w59xIANpufZoKMFqFc32RBKd\nwrO3VN6bLI7E7MhkwXWqwYYgmyHFJjRA4tQ5x1NTiiQFUqw+RDfgydoJlkqQZkgCgU83AEnp\nu4UcCUhX/DV2bGggLddVDUOlLoMKOXSdmtdBsQ2iHCAxQIkjybZLjbBqfqKkfaNAg8bISRDd\na0HMwatMJLVFyyxJ6KHNkZQVHqqDpLQEpG1/jU0ykJLuBhLxk4MkFiWV6lKthCPJ9U4kyWZL\nvuQIIDnxLs4eOWoIo8BDMblxhSMgSTzN6XB4CdIMSX+rCBpuoemnTRgZSLvoXiAxQAVIkr/d\nVQoXe45uyydpUOQpCULF2zo8AqMjOCNOxrbI0QWtEVkhWrKkGWLHjmN9et+yKbM0AGmKpBpG\nBBIpOnWLmfpp4/YsBtIOejSQkkkJg4/Y7wpFYz4vBd9SEzRIuLQvtj1z4PuUNp7FpoUxAimQ\nCo2yNABpnKQ6RxqkcnQ0zdRPm/8aH9HQQFquK3ej0CyoT7Vjl30SXIJoCFJKAlckkdWJnwET\nZ1iCdLmcT4yX2DLaLjDHhkmqf48qSwOQxkga4SiBNBJlGGVpfB/1aRlIO+geIGkrol7Wz1JH\nXOC9KCpqRkCKn13wQwCJOFIxBrhZaqWxCR5JGv8uFcs0AKlK0hhGCaQFwToDabOeAKTcH1Mg\npSPpPGnSxWQhdMV8YZigaF0VJB4hAWaxHaWqao54yVP/dvio7ExOfR+VTqBJ0kOdIUnjHDFI\nS4PeqM8G0jo9HUiD3VwSP5ojGANJGcjSGDUSoCZCnCp7Es54jnAExb8h/bW4dRGpkL1uQ8Vg\nZsqT3Crr8wqSJjAikNZhhMUfDKQVejqQqhzVy+rTMohQqlEkoRViq4QGKcUQ0B5dKPN1QGQZ\nOyeSBg9UUU5SNEt5pk9G0iRHANJKc/TZQFqrJwApXw++BiSsXTcKErcLyb+Lh06eQ28nXII0\nWM3ErFQidHKTfJykI4NKmqRiB0tF0jRHEaRNHBlIa/QMIEmRb3q93CKJadH9n1N4pOZJDtLJ\new5io0GKeXl5IB1fNdXk8S9yjjqYx9gzCUnlnsrxIjSEmgNpE0YG0io9BUhl0mpZobh0pOgQ\n5trJf04maBNHBUjv/ZF3zyTRmtj4ImjHjv2+KkgUJvTlNO8oSR2RVILEJFVYKEDayJGBtEbP\nB1JX4YhJStk74AXKyj4lNjVUvAGvyD2dAfQM0uVyZqQaXfkBQRqOkTpyGf0KkLrIkixBr3t3\no+pBWsNRdn0DaYWeECRSDhIngOtaJtzlBxzh0cQRwxZfvXect4Apdjg0Qo7YvUOOKlE7WgxV\n8jULUq+8ruRykr777u3tbQtGBtIqfT0gee6vue/nU00uQsAlvjqaOlIt4dpQQAhS7FJ9Yz3e\n8lTXa2CRGiEpe9Z5jrw/10ma5agHSTdZjJGBtErPCxJ1b5WHXYKEhHgOb6fTEgBUHyWIQeLK\nQIDKRU3Eekok74/ziiOGKz1Tm5bn5prjqINspAKk+UUVEK0bDK7qNA3PMpBW6IlB8kFqrPo6\nSMBOytkWp87xGCYZqzRCiofPaHLOJ31Jwkk4WgPSrDySVNIwTRJGvSsgDXGqfW4grdAzg4S9\nOA18yjESYOJpJjWtY6XpJd8FzV6X1ToGkM4npjNesmnSTTOOVELQdpCQJJWDRwBMgUSzR6Mg\nqetUPzKQVui5QAo60K3gYcPAUTs+AT/kMRRjRNiFBBJfXIEUIw3gziWDpEo/IEe8dDA9U7uV\nI3DudKJDAmmEJJmEnQYpamR9roG0Qk8Fkgp0d5ghGjqXkZRJbI9XIxxeIN6oQIRc3UlDj1Ox\naIqGIDGLvkysa7dyFL9jShpKvIyQpJZMzIJUZPYZSFv0TCBxfxZHLIS8BkkhtD2NZMkRSCHN\nx3qO3XXaIHXA0eWCN4g5eXgn4Si9yNG+9ju+V0xSnSS99GgOpPeKDKS1ekKQqPPyq3GLFCBr\nVWWberJOKZdVRQtCrNQAr9AgnYSjhsIRjZfT5VXJ0XXfMbMZ4yTlK/imQaphRNr6qAbSDnoU\nkEIGUpWjrgmpEqQE3ZRlUih5yA5ycI13bZBwVghgbRikVJx/7++Yu16f6ySVC2EnQZrgyEBa\no+cFKfPtik6Nb2lTiTDQkCPPdfP7Zp8BpDe8NOUp5CD5MXSv/o71degZSYMF5RMgTWFkIK3S\nM4FU9+0qWQPUyx2PbujEfEGF2qGZQEIe38Gze30NjU+fR1YzkKqDMnjUWE5/+3ccsFCQVKnL\nMA7SNEcG0ho9FUiynkKlAFXS2NjvaqRkA2R/p6RTXr6nQOKzPBmkM+DC+T6cfKdAGiMJNnjZ\n+h3fxyp2MUm1hUdjIM1gZCCt0nOBhAp6STlNmOrPBSQwSLSbWOIo4NCJlvwlkKAopEeDdD77\nxjFJQhuTNB7fQI6IpHWR8C+DIdKQpOoCvjpIsxgZSKv0jCCxEACdbJqOx07ueVdzcuKyQZJj\nO5QMkhODBFUaALjEEWWqZhxNgrRybvYLde8aFUjSyDrYGkgLMDKQVunZQRJSXHk4vshIAtxk\nXBWYpMwg8QgpASe7u0AAXEIPfhaktdlC03tmMklDjmogLeLIQFqjrwcklx/tuDiWkANgpICF\nE7vEmMTW0SC9ns8NjaPQkuEJrVPLmUbDdrlBWgzS+/vM5rPfxWeuLuAbgrSMIwNpjZ4ZpC7j\nyKmEU1ojASSlCpFsqFLQjtEQEt/Bs3uLOd7swMWP2iA7ZvIgCTy92qOqEdJikGK3TpvP1jh6\ne3vjgMMcSAsxMpBW6ZlBUhNCrgoSVPDOOYIEOeZIJnPxZYcGyb+fW8aFw+I9HRDUwPM5j7WG\nSXrUxRxht57cxfntbZyknzZyZCCt0TOBpEIKIehK3pLDLZ4XgBQjc2p8lLw45fBhYWI2aWiQ\n3ntuAsX20oAIrRAwxLNTNVDUd1zF0RRIgNHnsaXnP23DyEBapScCCaMFnbxUqnIUk1bVorxy\nbwqV7ypv0CC9e9iJuUV80rCI3cBkkJgUNVxa/R25WyuQ3uscjSw9/2kjRwbSGj0PSNT7u27I\nETlmBUddyDjimZ9knxyTxBydINTwHhEEX04xJOMjtFSOOOI9NhNJK79j6tYapPc6R0DSYB35\nT9swMpBW6RlBYjRylrLhEcgpkgQENyzyIHtdfosGiRYy6YpDKAoD4mfAkSrx4Ld8R9Wtx0BS\nGFGtuxGQVmJkIK3SE4KUzFBBUgmSyrRTAbcOp4agBqTD2ih0QjJI+FFTkESBcL5WQ8XDt4OU\ndesMpPc6R1w1sgLSaowMpFV6HpCKXWSp9w9NUmrVNo73BhPPjodEynMTg0QjJKnZELd2aRJJ\nNMBSeQ0+G5qt/o55t66C9FZwVKu/+tNGjgykNXoikPKVsUN1tGustHJx3XeyWxIwwNGNDHsA\nyf7nZzZINJMLVkdHG6JFyuKDHHTfNkYqunUO0rtglHOEw6TPGqWfNnJkIK3RM4EEkp2VKyQl\novBUCBmEFKeL3b4AyUHsG9KDfmCDFFcEgmvXNFyvizhSNb1l5ERv1n7HQbcuQHqvmaOMpM8C\n0iaMDKRVeiaQaByUu3g1oEg095N/CBdIJHEKeax0Gg3SOTZsG3D+2lStyyuS5KmEow3fcdit\nS5Cq5kg5d4LSTxs5MpDW6DlAkh7PmxTFgwzNKEiBHbQqSRjSgyXmySCdz5GTtiep5WiE4qiM\nZlQ4WvYda906B6m/fR2jAUmfSwINpI/QU4BE3ZlB8lR/BO2DwqQo6uOUISlJypoogxQv3UAo\noj/W6iIPFZAqWrSqr9qtNQ+YQj7CUUZSLwPpFnoGkJwCScp2C1KDHfmkXXAlNokl8vg8GqRL\nMkjexc2awR610nwEpGEO0JL1sSPdWvGAHI2kgeck9WMpA+kWejqQaGCfbNMQFG7ng+MdxkK+\nsE8AIc8uhMtnMkgQZMCZJn1yyVG8zTArVa+PHdFYrz6fudAqYfQ+tqCCSEKMIg8G0g30PCC5\nDBLu3gNC1EkNTZ7qwgz5Fi3AERQa+pkMEsQPuLaqzBvVOOKtaPWTToPUtxnt1OczkZQwmgIJ\nSWIeDKSP1zOAxOGxzG0Tq4JWpwaSa7wKFTB4vGkLMCEGKYL0esLdJ7oAC2GpQkPOUbr7apD6\nJpfLFEc9Sa3maMYkBcXD1wfSvz9tfYptegqQivBYiuGFkG0SVoLkGyn8E7hukMPRVVMxSO9n\nxxeTVeWF6MJjIE2NkYCjMZIIpByjOZMUNA9fG0gve/fsufvtfL27zSMlQtT8zzRIDWb4QD6d\nV5mnacyDk7EuXDyMkM5ekcSbOA/FN6ut3Jtw7C6XGZBKjKZIen8Xkui3aiB9qJ4FpIQIdfXC\nJNUGSU1wiqM0KcR797kzNj/BTpeRI85OTcl0VY54vKY5YnM1+h0vUyC9VzEaBQk+Y5Lkjk8M\n0m9/evn0Y8f49P++vNyYpOcASSMyAElyV9WZ2KrhvS89VgNy2R5+CFIcFp18ARIvv+D53AFI\nLqjxWpQ4fiPfse+3UxzlQYYZkvizEqS1JB0HpN8/RXD+ZCCRtjYMFZByE9QIPAokD4fTbhSe\nt6Ags3MiCk9gkKC4Kvl2NKryVM1raJHKnIY0hKp/R+i4ExyNYFQFKX2IJH0p7/N8IP348tfu\nv5EcAclcuw3KnbaaK5dWfWcWSce6leVqaB0SGaQzGqT3d69JisGGxpVJDekUuKFeaz4B0myX\nHsOoQpL+DJ27L6tudUiQvnn5HV8YSKDrQcJ99dA3K0FSJHE75ZVpQ4YuH42QHLh0r807jXPS\nIKmRjdAL785RLeNisfkISPM9GjgaSVAYx4hJ+rL2dscDSagxkEBXg9RlI6MaSPxhfM3r+VzB\nEbpsDRmk05kMktyvpRiDa9ug531ZQULfZdmG/pPyOy7EaJj9XSFp+GGo3HExSgbSCj0DSCP1\ng5SD1wxAclBEKGC8gKrm0/lkXtggQZIdGCRSTLPDTTO9kKR8xDpIna9uhDnbqdMM7GjK3ARH\nSNLg9/V0IOWu3W8G0sZ2dZAUSbhphPrcwRI+hzVMQpG6iiTFUMMPZJBewSDR+owWy0OC2Wop\nDzwzSVWQunx8RlqGEQyPZkGqf1oDaSFKxwHpx5cfu18jOp9e/tP9/r2BtK1Z1kGRk1AocqTC\ndo5AclyiIVeEgeeQTmKQeMUgrkTS1Rqw/JCXaaWMpJHnBC3HaAKk9wmMIknV3+pzgfQbhL+/\niUT1+heCdNscoacEqRa3kzP4c1ghm6oTa0vGnt0feQopgiRr2IkkyRFyOi+CQYoktcU6igFI\nSzCS9xOrIaY4GuXhmUDqfu2t0F9/61/8+OnlX2CN/m0grVaByRRIqc5PF3Pt/OBEBgMM0itN\nISmDRM5d26pcO+dzkPAWlWSgnKPpXjyYOZoCaRMPzwTS/fUMIKkOyjalylFgP46mS71rCt8u\n+WoRpB+0QdIgUbE7HhJh5AFnj9Jgq5ZVFyCGhhdZh9EkSNPXGv+tGkj76SlAoq45gk/iyDlF\nA/Ig9bY4ZIemBZIazpojXqoEDVW2XeCq4Y3jkpGjHOF3hI/XYjQBUjdDxMRv1UDaTc8BEjTM\n3DSKNWeRBAUSpL01KTbA006Qut3g6zMapG9fmx6kdDG8k0dW2pBqS2ZrMuJH9UeN15hKqhsM\njmZAgqtu5cFA2kvPAVL01bIUO6rhXXLk0oxPF5NWHa7rE47QPQtNNEjnCxmkhkESY9Zg6kKr\nd3fJkiSS1Rt+R1x2tDo7dQQkvuw4DpexJ5lpZyCt0lOA5JTEQSvLcOlkUwCpPzWr/i1n4ULy\nywVOR4NUgJRyV2UbWeYIIxmjHPUgTS6XGM1OrYPUzY64LpfxZwEZSLvoGUDSHKEh8q4KEk+l\nAkgpI8/lHOFumJeLOHYN9VexM70Px2+Tb5gwqlSzU99xarnEOEZVkLouBVpGObqMW0eUgbSH\nng0kCReUhSFbHNHwgCY2ah1Bl/ZidlAKJb4+Y9L3tz1HZ6pLJD2yxdGQ0OOhWJEySF1WpVgr\n8gAcvb29VSka42gIElxP8N4O0mhbA2mFnggkwoFmggYVVnFEQyRBI0zvSXlE5KJByYWLR4N0\nQpByKEILFY3JDrk2WTq4ZDwFaaXTU0cWHqDe8AqMBiCla0+apEUgjbQ1kFboGUDSlVZVrdUC\nJK4CHk/FNoGCbp6TetTJyiDhir5OAeFhC/PkMCqOqLqJPESnZ7kSD1i4O5E0i1EJEn/1OZDm\nx0idPJqBdIV2B+nLPdR35y/Upb5wCPrLlzAubBOtFM6mNiVHHuqdXC7MkafLwe1o6ikwhqwv\nhMMXfoh4crrjL0kEEr2jZr8slvrq6alGzr3Qx3OavMsDaAKkif/7UatfPlZPYZGwIZsdHv9P\nbJVE06qSnpBTFHguFjgikLI9aiXCkNeGdDWLxO0yw5JZpFljVFik/LuLwRlruPS3elyLZCAV\nurJhIPeNevkERzgh63IMFEtnLPV9OSeOpCRyvFErkQV9Ae8cccQbjXWSWSRhusEYaRlGCaTx\n38KVIA0uYCCt0BOBNGOEMo7QVlBOD7KHa5ZQyMfZR5BOlNutQYqjKz+QU6mq1Ij2a7qkcDfz\nQBwtxYgb1r49D8aujxkYSJv1PCCFUSs0OAg9D3eOZXK4yAK9j47dD8BRc8qmeuF2nrajSHXt\nZBdmduh4Qgk+VBzlMYP5EEPesPrlxYncI/hmIG3U04A0Bk0oV1VQv/NQENxLsjbaJBr5hGSQ\npEwxXILNTZD5Kh6RqV2YOy5lhBbvnDaSeK/szrIMo77hyHdXw7F6j1r3WzWQtunpQCpJ4j49\nsEeptLCEwAWJaJBOwWOoQU33kuPmUjqQlxL9CasuPgRy1LfPOUogrcNovFvvDJK6iIG0Qs8G\nkl7vSuk/riBJXC5P9RoC/SN5Pxj6DjwZ6zgllkMJPTlqWZ9LBkq6NN4mNK+vrzlHBNKCeaOy\nOywBaZ/pIANpg54NpAIYVwEppa/KqqKQlT/BFa+NI5BwuThzFEFynrMaQnLtEExIl+3occ6v\nqBKkDRhN/HIURzvNqxpI6/U0IKm8Bc2RC+UYSZmkwGuI0C1jexZxOFH04TVVlmwTSGmjP70y\nkIWnh0tvigYc9SBtwmjql+NVBtMuIHUG0mo9D0ipXIMmKZCXpReUy2DGQWKQjl/zIMq71+bC\nHHGJVpkkcjQeUhbQFyDxXpUlR6spes++46z2AQmv82wgvaDUga0PWtGTgBQkzCDmR9shiawJ\na+iRUfq3kCRnx3ibgCTDnpaWvVJ1b698Se81R2N/VMbodFqL0eJfzk4gdccFqcgGTqd9aKW7\n5wBJ+W28oDxxlEESk7t5u0vnEwMyRroECkNAzI4tltwE7+eFI3ImfQJpCUanZSRt+eXsBVJ/\npWOCVObVp9MMpDlpjtjWJHukQUrnI0lsg4oLOPcKk0iXlEve6eUQGZlBc9S9F1G6d1p/xBSd\nT6eFIG385ewG0uY/xz1AausaAYk8vFhHcq+SrM8HEtiWrKRQbpD4fAoycAsSGyT07C5eg5Tk\nUgv0/TKOCpLigljB6LwUpM2/HANpFqQX+mfPysZPCBLhkpOUfURemqOpVO80aTQ15JEQikqU\n93MSm/Cwxo+Uth/XHKk/65lJWknRml+OgTQGUhZreOH/7aOnBanY1yWHDL00VaqbagmJofKY\nHiTliAf3YwvUijXqm7xXQNJ/U/z8fY6jK385XyVISYvGSEiUgZQrbcei5cZBAl8tGpwiLk7T\nQmKQcK8XoCS7YTJdEBLHMxCfHKT0f40XxmeiYOoURmt+OV83SEuidjJAMpC0nCogvAQkOLGR\nGSTcxpxD5gAS5DPIAgqq8pAkmQw0t+Titn5ET+JIUXQBjoCkaZB2+eV85SCN/kqrY6Stz1rq\nSUByOg27AlIRYkOSYgTbsdVJBkl5dp7tUwFS2nEWSXlTsTp6pVw64SiSNFXCe6dfjoG0ACRz\n7SoSkKq+HRNGYyEFEta8dxo5IOeiDVYlbscB9QZI6l0Jyl6QNIZiYNRrDqRdfzkG0jRIcYhk\nFqmiUOMoI0lZIg1SSvVRtgpaUahBOMrCDeTx4TrAyNErcxRfDSmaA2n3X46BtPKXe72eAaTM\n7gzW9qUZJDFNPEZSPmGqltobpACenU8fFnE73r45knS5nMkQAUdtFaMJkD7kl2MgGUgbFHKS\nKOM7sUEcdUHxgmvLHRdWVUkQcRlRk2EmmagsOhRz8V7PzNH7OEVC0nsB0of9cqZAakc2nLnu\njju0M5CU7rhjn6csVOWxeSluH0GigELgcxAW8eaYsNgyxuw4fXzAEZPUc9TDAWv34l9sSFE2\noTQIf3/kL2cCJHjE/e+4QzsDSemOIHHQoBz6pHweCXPTOWh5mKM0QgLPzvEgqxtw1GJSEHpr\nNHFUsUXDbKEEUu1L7PnLGQWJHnPJNQykFXoekHQQGziSdRXD8AOn9MjO5CkWEVs6VU+o1sHb\n/tOeIwhqI0fUPbPFR8NsIQJp9Dvs+MsxkAyk1VJkCC9VQtVV5QAAIABJREFUjiT+wKc7mE2l\noF4Qg+Qh8RsPYv/O49+tgyhDdNVeFUf9i2mQxr/jGLJJ+Qbp8zKQDKTVKknCeZ8hQDIQ4nwF\niCu4PM2uf3EGg5TCgFlZhC52Rte8vp7OEKlTGCmSxFadiz/mRpDSSt2FGgPJxkgfo2cBCb02\nJKlIcihyhSifO+2mrEvbxaw6XBohxRiCzwv19GpDXJx3vrxfJODN9oecuzR6Kv+S20Ci8pVr\nfiljIFnU7kP0DCClCVVtkxQ6RekT5qLBet+c8EMVTTowU6dymxiPdfThfr699IhcTpcLR7yZ\nIwLpxHGI4WZjI99xiUHa6NzZPNIt9EwgZdVL8hoNRREhSA3qMNYg4Qd4E/85Ycwupyj5eT1I\n57dLP0R65aVG74ojAqkSM5/+jpMcGUgG0hpdBRKNfLj310wTiUJyXQPbLkt5R8//QMwOI98D\njmDEdILVea8nCtW9v7/nHEnl7/2+43qOri5PZyCt0VOA5BNHTFLaBxPtTYWjzqPdIZPEsW+I\n2Z1p5QTHxMVywXat5zj8eeUlEu8CUuQIH2mUo82/nPUcGUgG0jpJuED5cLg6IgyOBy7U4GLl\nBcjwTi4clvI+YSRPgaRD6wFK1vUGiTnC6AIGFtIzjXF001+OgWQgrRGboCyqICT5PNrAXMTc\nO0kZx+AdhfK4nEkstd/IQgu+RkfU8Io9Iam+i/le39FAMpCW65oxEvX0YoeJ4RCJY9+QJa4M\njdcgQawghr0pxYE8NeLonTg6XRCk14m/VyhjCDf95RhIBtIayUJXL7WDoAurxO5y0VEECTPs\n4qjJJ0vluSwQTB81iSS40zv5cYojAKl4HrZOPKra4TsaSOMfGUiFNjbEuVMv4xnsvdk7HRHn\nl53ED2gxLNonWkHhm+CZpHQr/Nu8iVsHHL0WzyOzt8zuDt9xY0MDyUBaLDIkPpGUVullM0u8\njRhx1OkCkeLZBS7W0MgCwHQr+ttARtDbJc7I9hypzz3vYeazHKXrv+PmhgaSPrEool/oKhYG\njf/9p/5W3/+69Xr3AonSgrIpH5/PLEkoXDiiQ05idrwBJoLEu2RGwQvF0VvkCFYjNYkTPN9A\n+pAbLgap2ABEnfei/q1oT5B+/waYfXn578br3Q0ksjNFfMHlJEkqENojQUsVTj0TSA3vPgb3\ngNaKo+jTvfUcXWCQRQ/iM9U9u5v7vV8dSOWWVOm0l+JnqT1B+uvLj7FQ0X9evt94vbuV41Kx\nBB2kcwPfzqeZI6cnkWjERMHvRsLi8Q7wuSpXFzOE3t7OZ45i4HP4Qq7CkYG0teE0SE1dVZDg\nNfl46ueuIL28pP826S7zSFkuXZHsTcdKU4VTR/kICd7wbKxAGe+AHMmC8rdTLIt7Tu4iPscA\nJIzH7/Idtzc0kFjlFmMv+c/r6uk/BUh6K2VtnmSZa7FJLEHSBsz7VvYDhki8xZJw1CFHZ+Lo\n/Ry9unO2YinKDUCqZAoZSBsb7gSSVP0egPQRrt2PL3/deL07rZD1HGgoU71pitandUfk6jkg\nqfDseAY2WS+8A3JEhRnistjeILW+4Ii2li1J2uc7HqnhAcZIHw7S759w74tPv2283p3LcfmS\noxTgpsJbDFYWnUjgoEHiA3wHAumVqpu8vp5fVTN5EAkfdomknb7jkRo+atTuliB13b++eXn5\n5sfft17vHlE74igtFRd3TjhKlHCMjpEDLy5FBmKoQU7xwohwxKUgISQBDbNHoYbdYFHtld/x\nUA0fdR7ptiBdqbuEv5Nrp8xRU4QWONtHkQTveA2GJ45UyW+xNpBe9yp1gjhEnpkjlAA0RtIN\nl1FcecenA0nNI314sOFq3WceiV27LHrHSyQYJTA2iaSUPSRuIZX8zuZv4RbxD3JGjiJILYQk\n2rbCyUeBtGVh33V3fEKQVGbDR4e/uz/hZb850hgJAwy69DDigummyigJHhgFCPixhAbQbHk5\nJIEELAqEHMUM1YiQb28J0pal5tfd8YqGjwvSB6oA6Ufm80hROx7sDOMMXFlI1cj3QdK86byW\nljN52Tc2ZCXDkaNT4qhzEL1zNZBSxuquYyQD6WAgfcLcoF+PNY+EK8G1r6ZAIpKyBXxiccQU\nyUYtZ8/rkoi9/u9EHLXEUdc64mg4RlJrKBJQ139HA+lgIDFARwIJGdJbungZC2XxBgGn3MkF\n32AtcK8PwcsTLyyXKnWw2WWbTyKNPl1hmK4ZIy0tSJfLQLqFCmD+9PLX37vu9x+PlGvnk8UJ\nHHdIdknv2BLSfhMyWPLJjXOe4npq0AQzSMjRSf4sWK6BCc0eppw5GgyVNv5yWuDIQKrqAUH6\njSdkt66juAdIasV4WdhumM2a75MZP4fBEXMktfMZN5hBOmUcoWsniOpnGeQyzIBUHUbVtKJk\ndykD6RYqXbjff4QJ2a1BuzvVbBDXTiV7yziJOeKPHE88MTKMnXDEQQoA6UQVGtRfJbQ6sqGe\nZJhdNw3SSECips0cGUg30RPMI3WOSgBl4IQskkeDIJcGUMpQiZuHIGHYjgyXcKSL4QccJLV1\ng1QxSSPfcSxEXpWBNCoDqdBVUbu0WV9yzQYZrCGzRbwoiXPwIkgQ2HMiqOCtAw1RcTI2qqmM\nkAZ5qhNRu9UgmWtX1aOBBEtjWRuvdweQlOFx+SuM0IUUeFAmCKdv4/wrwBTPTkMkIUkiDVn9\nxwZJaoYRu1q+9/h3XAPS9kGSgXQLPQVIsngir67qBaci6KBjEVhIHz6GzG9ao+RwT/Pz+XKW\nzY/kjh4iaE0t9D3BESJz1RjJQKrq0UDaQ/cBiYuqFm4bRwy0Z+f0qvOQdph1tDlzlv/A2/HB\nz9TjPcfJ8fZzU0ncCKDZGLVjkJaermQg3UIFSN9vTQ1i3WcZhcwRhYKklAqk0hxSbX0ZInna\nhEJxxKHvoUHqmM34ehBwGBG7cdl3rIUmxi6AHC0GL8lAuoUGKUJXXu9+yyjARctiCQRE8vUS\nT4EdQWWxhCPJf2CQYBWFuiNdNSJAF59/yhpIg9jElKv3BTlaT5KBdAsV4Pz6/fYpJNBd69pV\nN15O1iqFI1ygZbKtI/6o7IkTGsmxe+cpJH1HTnMNGUjTYYYlIE0GH76sC/LphhtlIK3QINfu\neMEG7o+wHYXwM+BIk4SfteTZkalqaF9mnkby5zQVe8mMTtMGTKIQkHy9QINWZYxkIK1oaCAt\n10aLRC5aCKnSiVcghaDiC5y2AK9ayqcLXPZETmaO3omjS+a+NU2ckMVZpIyjOZLK71jz7MZB\nWhPkyxtuk4G0Qk8QtaONKNRskc8DddmaPkpiQKRaqVYsCaty9iU5dsBRThKfzTWMFoBU+47D\nWMP4GKlbE+QbveMNGhpIO+g+YyRPkTcfcoKCmKNUZj/5djy0QsRkJTo1uBQGKXfuJLs1vtsO\nUqkJUm7Ow7OBNFexGD7bXGW/mrT6/b8mWkzrfitkVVRBxRx8FrnLB0kNgkRIsGdHUfFwyUZI\nBUidvkGXAJ03GMfh4aggnU6nrSBdUWV/bBnFkWo2qPJZCEJulWj/S00SB7x5fXng+kGJtAuF\nGvq/ynm4gi9lSnhN0gLX6zg8HBSkuJz5VANpDpPrquyXE7Iv3/cI/fb9oWo2yFJXwkCcOrIv\nLguLa3PFnl2sOQTbi6V0PQ7ZxaRVXeAblKwahQeEplmSjsPDoUBydY2ARA4cpMQVH8nJK8sM\n1Zea/36kqF3HhYGUt6WnYQuOqHxQ3NilcelUyg/iQPol48gX5RnkqhqehSAdZjXE04EkFe2k\nmt1LjtA1VfYHS82xxuqhlppL1W82RWhjxCLpIZJwFOs7qD0zG67CSqJ6J3EVRfIa5ZaMW7ce\npOOshvgKQNIH5fi2KvvlZ3+Nm/X99v33eoz0Cf/tNfUzfd1bg4ThBCmRL3NBMiJSq2Fpc3Ik\nTmJ2bahzVICUICGO8oD1Yo6OkcR9KJCWjJESSC85LRlI3baaxqMTsikOSLzQP2M/1de9OUiA\njq4NSTYq9/jIDiWQyLPz0amjxbEFSHF3S+X+JUwazZEmae5hDaStDa+O2nUwKMIf/FYd7D4a\npE/dg4OUe3YUTmBbk0EEK2A7ztjmDSkgXIfVvBugyPccXU64w+VJWbTECZ6XthZb/rAG0taG\nu5QsvhlIVT06SHlFhjwMUHIUfFr5wEtoPdc9wchd/z5uEQuO3eVC07Z0RbxjQ3bLrwdp+xhp\n3W2UDKQkFVR4GYKk43r6lA3BhqoWgvQH0JfbS8OS8u4ch8B5AEVbiMH50E5mnzwtoQi0y8QZ\nOWojRzRri2DSDUuQVj1tf90tX3L9jZ5MO4KUwt8lA9ur7D+BRcKxUOCC+GxA2CVLnhmPcgIv\neyCb5WCI5GUXCo59R55on5fMsSst0g2+49bM7yvu+JQWqapd0uSeAiSORqdtLoMkMDguE0SQ\nuAIkaIm1itnAkGPXEkfNcPles5mjXUBa5xwaSDMykFDKBpVTr3LES8odHojtKD+Iy56kfZLI\ns4s8Bapcn3OEJG0zEjuAtHKYZSBN6rr9xdJlFpzz6CCp8nU6vUGFvlXkAY7FZo63G3OwODYl\nilOJ4hYjDXAL3GnJ0e089OUNgYbt31FPUq0N/BlIt9ATgOR07Fuzk0qfaI7IIglHlLGaQn2U\nZQdzSMwRWbeOTUObSJpfObHDd+xU1M5AKnUokB43s8FlaalD9y6o8t7KdMnOYqkyJJJxwlJ2\nMIeEfVeBxHZISFqwBClKMLj+l2MglToKSGt0p+InEpYrQ+FprCSOXA6Sx0JcyXD1lkhGSJQV\nVAGJSWqXgZQcs8p3dIuukRraGKmQgVRoXUMe/uugQkESBbdTjK0ECfIYeJtmjEecuJQdLufT\nJHUMkmOU1nCEJA2/I196RqqhRe1yGUiFVjWUQFriKIXAtaPnqJy+94ULyJwF3oUCQgrnE9ZW\nvSiQkCR4hU4iXGwxR5MgpeHXtCxFaFQGUqE1DYmHjueRynWxQXl7Mj7SQQl29XCI1NCAqblg\nzO58ovXlg6hcBMLLotxlD2sgXd/QQFquK0ASQ8TzRpkHV+46xscRMkoMgkShwLFvAkmjIt29\nlSyIpU87MUYykJY1NJCWaxtInacNJxRHtI2sw+1lU5E7+NFglrcghJUhsU6kR89uhCPq7xSw\nW7PN+ETUbv0YaZ0MpFvosCDpZAMVnhOXLk0diZuXinx7ykzA/9SOl+50OvNkrM737jLLgQG7\nyN8u33Ft1O76O35sQwNpB90hatdli/qQGbREeSyPQWpwtYSA1KRyjz1IOBnbyxfOWw5S2zYp\nAPFx3/GQDQ2kHXSXbV2KzSw9bdQHtAxJanjZkZc1fZhxF0k60YI+5mhQpyG+pCnRhT7ZHt/x\nUA0NpB10z/2REkmO4Cp2GdMFg2jfidA43KgPXTtd8oQXMsl9hBuXODKQbnVDA2m5tmY2lCTl\npfSLjSmAJI5+81gHDzs2SFiCi41YupHD8YxzwpGBdKsbGkjLtbEhjoRwetVzNa5Aq2SlPJei\nTTId4r9pC+b+BWcHnZ0skwiDgnZpHxkbI93uhgbScm1rGHTiTxbsHgySJBRBHFG5Bsd7MaeF\nSF4UhvXs8KffwtGBeHg6kJZsWLSZh2cAKSRDkxXM1zv1ZaKEoQayfNLGEiHIyljAUJxDuRWD\ntLDO937f8VAN7wxS3EWkDlL2Y2c9BUhlsEGHF/id1DAm5CDw7TFBSAwaeHbn1x4kzs7LOGKQ\nysj4x3/HQzW8L0iw8a+BtFziWLkEiBoJ+Yyc/C3nNdAUUkOtKGZ3Pr9GTDCaEAa7UESDZCDd\n/obTIPm6RkB6wbLfWSl9KSz0ok6S47M6LEhpqM8VhEr/jYsWp3INgXLDeYjUSOY3Onw6Zhe3\n88OoXnnbq0r6HIiHZwYpK10nNetecpD08VkdFSQVNHPZqljl2RUVV6Vsl6Ruu0btLwZVuICj\nyxnjFLwIdnBzzHFdnmi38TseteHDgiTBhlQ39WX4pnp8Vs8AUm6NEklgiVKSd+baAUfepVkk\nH7dEwhV958DFvEYsD6W6fvR3PGrDBx8j8atBKX0Dqb6PmPe+CH9jvI4T7bJZpHgAq0KeXs8c\nRR9z4WholS9TlRPjsGo8Mfw4PBwUpNmoXVfg8XWDpMZI3hWZQDIUSg6eGh1xWgMszuNyDRA3\np60uX3kyypcunLCCHGULvgU5uGkzStJxeDgqSOPzSPkrAwklUTvPIWllkRwuL2dEOLFOg9Rx\nrWJir3mlLfouvN2LL1w4ZZ6QIwWSGC++2hhJx+HhqwBpxLUbuHyzOi5IQVYjeQ5UJ88OPTfO\nudPVuBJIHe4cS8HvJry+Yr6q48L5mBeeczRSpDEYSB99w91B6sYiD1Qv/ysBCborvPKhWHjE\nLDkpicL2SlLkoM/Ldi7IDO3kcuIpXuKoClJZEstA+vAbWq7dcq1oSP0VXlJRnwFKaW6WQVMc\n+dA5WpBEe75grYa3NwYJa+tnIyQBCWLj2ePYGOmDb2ggLddGkALv4qJ8u3yKNt/jXDZ8wVXm\n5AXiSqS3t1ZV7IqcpXtqjsrUb7XtS7Co3Uc0NJCWaxtIWOCevTfJ8OYixEEtTUp17jyD0jiP\ni4sw+N2DlJs0ctfgpsLKEKQ0ZNvvOx61oYG0g+4wRnK4jXKxf3nvXoW0GEl9wJ4dWxwO54Fn\n9/b2VpR5gPBeqGTcbVpEMfUdZ+qnGkijMpAKbYvaOY69CUENW6U0IZvcvsRbk4LfHldQRI4G\nICnj1/EdN3M0/h3nKnobSKMykAptbAhBbZXCwNFwL8vOFRxqeURaHBtnY2EFRdzJJcuNYIP0\n4SDN7jFhII3KQCq0rmHIiugrVHCFH0awHW6AlLjgKuBouvohUoMTTRfMs4uf5tuTVUDCW+bx\nhLBsjDTKioFkIGndp4i+8sZccsi8S+XzZbcJzvymmHfbYvK4xzXmkPfNe2lylG7AUdtgTkTt\naaY1DouBZCBp3aFksaMSq2rSNWiy8hiEgETTsWSvYHOx0/nsHZPoU0S7ZKQtpmqHuzWPaIoW\nGyMZSEp3AKlxkpiKDhmT5L0gUw6R8DCmnoKfhp7diWajeF/LkXu3SJKvPc2kJs2ORe0MpKR7\nWCRYUJTtIcamR/GlKGOQsOQqrOtzuMb8nLgrSIlKPR1I0qDtAdKMDKRRGUiFNo6RpJp3xpGn\nNRLKIvmMI9+kFRVYhgvLQqJNAlKyG2oGaPFs5WmmtZ0jA2n8IwOp0MaoXXTF2pByF2i61Zej\nJW2QeCdm2NGlHyLBbOyZEyGgSlfh2mXWROfd5U8zo80cGUjjHxlIhbY15HC1JNBxWIGnizxV\na3AckCOeOPO7//AEHF3kQpUhUu6WTQ2h1KMNzzkODwbSGj0BSE7W7JU1In2REy4Zq3BagwlC\nEmvoR0jCkdR/TCjkIH0Z5yhN1VZoW4JfXQbSqAykQhtBcipbQTlzyjSJzVKTSh5XuWJaAxZY\nTbNNPnGUk6QftQ5FSnqo2LWqIVsGl4E0KgOp0FaQ0kRRNiyS8F0aIw1jDS6Cg5uL0XI+nonl\nrWU1SfpR696dSh8aglRzGRd6iQbS+EcGUqHNrh3MoorvJjlDkkkXKAyeTJfEGmBvpAuBxIVX\n+dNqx6dHHflsNUjj9yjvuFEGEuml+NkNP9quZwDJ8ZqjtNyIkuHyrPAcpIYKCAWqnX+5NESS\n+vwqkIa2xkDa3nAxSJfLxUDaIl9s5sIBPLWIQnGUTccSaBD8foWXiZ5kkmoR61GQsk3Kl7hx\nBtKyhktBipvyXAykDRI8JASe4t9Z0EEn2gEolNvgY/D79ZVL32WgAUdVkEbHNpMLLCpNbIy0\nqOE0SKGuAUhUIYgrCGWVhK7ScUGSpNHgOaKdBRrIPmUB8GI6lpmiWAMPrhRHozk9X+LYrL/Q\n5CPWAKl8x0UcGUjjHy0HqaxZl/28SocFKaVfSzkunxGD5elqmeAygMIABQa/TxhFj+c3wpFz\nYzk9Xxas7quamuPw8Kwg5TXruq8cJLWQwXkOdJN3R/OuxI7+NwcJoxNkkM6eS0rCJ/EfOG8k\np2cBSPXBz3F4OBRIC8dIAtJL7tsZSB24WA3VS2Vvjg1U1SAhL+zZNS5wwio18zw0miLFQLr1\nDXeJ2g1cuZfOLBKDxEGFgVQsTxukQBw1NPcK7tuFqaPxUUxbnQKFZnNnPTsDaa+Gu8wjlSDZ\nGCkbIw13oxgwpUEKVK3BYdSOZ2MZvmiPIP0bFpRP3H2aIxsj7dtwN5DKYMPX7dqpqF2+W2xa\nzKcqgjsNEocSHO3EfOL8oGSPtMrb0Zummd9pbGHUbpHiCqhtLQ0k0kj4+yu3SEmOY9/omSV4\nkmvneWjEGAUKJsQfYJHS2gmpnZ/RkoEzrNnw0d8RM2YPsmvto4L0oXoGkNTCozQc4vVIqWRx\nMki0kJxq3sGaPj2uqoCUk3N7kGg+axNJBtIt9AQgpVXmKqoAtoltEhLloD6DZ1bISHmssNoq\nkjiloTRICaR2hKMF618NpI0NDaTl2pgi1DiuoZWFFwAFHi0hNY1PGauc3XCGPDtm0dHSWXby\n8A6+BCmS1A5IWlKRwUDa2NBAWq5FDQexMu+b0iSJcZGoQ8r+4aAdz9tCwqqjOlxOp7XyRhQ+\nt04d9euBSVpUI8jGSBsbGkjLtaThcPYmKEukCp4UtcAliy7gEAlnkDB14fW1kTKsMQCRQJJI\nhc9cuQZtkjwRvlgC0ubiJxa1G//IQCq0oGEln8CJV+c56Scy0YiV4qQhNEhkXnibWdgVyaud\nMWNcnGN4KeRXBLKVgUrPswAkK8e1uaGBtFzbQGqh37d6mTkGth1XuJP0OwLp1CSrc8Lgd267\nmjmQupwjTdLU0y9y/kZkID20jguS4ORboAajCCnWoIZKVOTO83QSmJMIn4ccBhh+UM0utFwZ\nSKHCUXrUjOwFjp2BtLGhgbRca8ZIqfuGCEOg0Q/u08f1UlMgzvMQiadhQ7xCC0Ok6NlBnkPg\nZbU5SJPl6SomclwG0vaGBtJyrYjaqf7rZd9YMDuNxLjLtAYIJ/T/nQmkGGqAHZhTfMFR+K7R\nHE0/6gqObIx0RUMDablWNFQgoSUp912GdXq64qOTyo8Qa4gWqfcJMfNbuX2KpAmO9KOu4MhK\nFm9vaCAt1zaQfMpEld4fgJuUxSpDJJpFomVLbfTsTj55f5yQF9s0ExwdqFsbSDfRUUFC4wFD\nF4c1G2RdHvKShklO1TKOR15V8DsASGKO6D/kcoqjA3VrA+kmOipIHfb5+KpJy5H67i8cKeOk\nMr95iBTf9Z7dOYHENokKfzdTjt2RurWBdBMdFqQO+33/IjRkiRxsvNyiO8ckeRouCUeOFvXB\n1FMcIjlKb5UBklrINJpMkD1qJaq3z3c8ZkMDaQfdDiQZJcG6caxQDLvvxWC4CtrJ9n00kjox\nR75nLga/+TOXSOIpqXE+9KPW5pn2+Y7HbGgg7aA7gES7utAwiP058s7QuEhaQ8z2FpB8eIsx\nOwp9S1pDiv5N0KEe1c+du/07HrOhgbSDbg+SC16iDEVOQ+D3YpCopjebJ1gcy+EJyhLvB10L\n0PiS/DkD6SY3/NpA+nIroQX5AnYo8ZLWU3CmXEgWKf4XY3aSS0dDJA6gx4t9+dKkvIaJ21ML\neeVv9LW/Wn1tIHU3+r9AxKNjdrJKq2JjAuWuOilo11xojR6cxflBxA5aJH43FbRjMzTYjWzX\n73jQhmaRdtCtQCJkIkhASpPteimRhiAZ3XxIOAqhjcHvt7SOj85s9Mzu2P19QdJHfMejNjSQ\ndtAdQPKNkOIh+zQfInnZpy++jQbpFTnCwt4qLs7IYc2GFSB90Hc8akMDaQfdGqSOe36QEF2O\nEe2URKzgbCyvNI8GiQoTu7QYqfOJozGQYN3FNEijRcM36jgNDaQddAuQYv9O/dxl24lh4IAG\nTQ35eMleIUNUiwszv9uSo06WZExwxCSNPuT4NhYbdZyGBtIOugFI2uLE91hBKNDARlslj0Rw\nzM4FF2djed8JAikOijiwF//Lrl8nKS0GHH3I0ZVHx+HBQFqj44E06OcpHVVV93YcafBe5QcF\nWmQevTocImHooZXAnl8B0sSCCG8g7d3QQFqu1SDhti6O5pIcbm4ew9q0XVK+hII8O4ejI9jN\nBYLf0ECmbJeDNP6MrYG0e0MDabnWgBTdsZhiB3ngaiGS2h8pLR7nSdczeXZQiYtAalUlFFzS\nh5eZGCMFgGR8kil6fTZG2rmhgbRcK8ZINB3UE9PB0KZxjUsISbocD3w85tJJ+aDeJkH9IBlK\nJY4aLhc+HmugxNiRT2n8ZFG7fRsaSMu1ImonOxQFqpZPm1YSGco5I5D6j4AjqvndQsmU1qu1\ngMRR46l4yvQT0DMMP5uJRByHBwNpjY4IEoiTfzjvO3l2IUtcbdizCzgbewHT1AaI2cXEu5Zt\nUaC6xGLOJu4O4zOqEpmbnlZ0/Xc8aEMDaQfdOvs7SISOs+p82iIpy/x2ySDB0ROajSZw1gOV\nMu7E1Zu4eZOUQ+NmODoQDwbSGh0WJN6DPHSQZsdTQWly1ku+qsN4HRiks+f9XDA/KJozijW0\n5LCN1FbVakqQGBvnZjg6EA8G0hodGCSJ1FF5BaxZLEdTwgKRc4LZWJy4bSDUcG653DfggOOl\nJSRNgORmIuPH4cFAWqNjg+SxtiotNc9yhRyNmAQkMEgNjaEIJECKJ5b41A6XWDQC0hCMAUcK\nJDfJ0eh3nG410XBWBtItdCyQXKrFqLaIRYskQx0cA6VaXJTrcIFQAxqbBovnk88nQyvxAjH/\nm0CqmRiMM3CsQY+RnJsuBD7yHWfs2JJfzsM0NJB20IeCpHqp8AEWyUkd1bSfrFQ9oYRVMEgX\nNjYnHCJJIjhxRCYJOcKJotqYh+J1HZ+gfrhst6Sl33E2V8JAMpCWa6ahpGd3OmYXMNAgc0ZO\n6quqUIP3ZzRIAet8Q8wOllBEr5CiemKRMD08jILDqlbVAAAgAElEQVREJit7uPKkMTQMpI0N\nDaTlWg0SVQiKYx9ea86VUCTiQJED8OxOGKZzGPw+Q9jOtTKYYoMk62zjncZBmuTGQNq5oYG0\nXCtACoojjnoTQRgJL+J4F/TsOJB3iiA1MbnBtbARjFO5rWk7C7jViGcX4wzp0JUg2RhptqGB\ntFwrxkhp4RGDBL3fp6wGtlkIB8S+T9QGDVIbiWmaRsZHEgmUJFa816CLtxKvS4cG3KwaI1nU\nbrahgbRccw0BHn7Ns6ewBUvMISUTxaMjSg/CWN4lJgNFkAizmPl9asD2OE/QqZB6Mz2PBMuY\nahaIX2U/133HUR2noYG0gz4SJDI12Wvcp4WyvlMaa/L6KDsoLqB4xfkkAclhvI7NV5fN8tY4\nEjTatmqB0mebv+MzNDSQdtCOIIVyoUIFJNiWkunwMhGLQyFlkCDN7iSliy8Y/IYohWzEHC/r\neYVs7fESInoatsBmLmxwHB4MpDV6XJCG/bkKUieRawk6sCT27dIICZdLwG4uElygkyt3yaQQ\noSGSHB2cZCDt3tBAWi7dsNaf9ZH0efCwXxjGFRrK/G5SyI6y7JqTBOP8G4KE867kBvqJG4MU\nIg5XQ3UDA1Tz+ca/4yodp6GBtIM+FKTM20smCWeNnGTSBcoaSp7dhTginWiIBNubt1z5ZOrG\nURokXA01MEDzHG3+5bg1O9XuckcDaY2OBVI3PCF0KasOFkuUnl3PUYw0UK0GPABDpH6k42BF\nuNcc1XxKUhoW8YxWAY6f52jrL0dF/tfKQLqFDgtSWhOLC4wkxqBKcWmDROmq4MiBQQpt07Sp\n8HfIbl1bQ64Dc1WOJopw1b/jcum56LUykG6hhwVp3DAErFQccpI85Al5hRODREkNQZKKLrAt\nEk0Gccgh3auWSZcLQ37tILIwXjto5DsuloFkIK3QTPhbDmPxfOYoFll1jtdNYHoQFg0CC+RP\nkvZNjQCkt5jZoApx0d24csMkSKpQEIOD006jtYPGvuNSGUgG0gotaKgHQGmMlPt0HoN4tDYC\nIw0n9v94iAQk8E5IEs8Ly0DqWqz9rTkikua2p7Ax0saGBtJyzTcUdy4tmOBk7fi+kQ+lmt1F\nrUMCWFzAJRRY+qRJHAX+FzhS1nBIh9gxzdGSLV5mDdaoLGq39aq30bFASuOizotJ8kCSx82X\nxVxxyA4duwsiQmkO5Nm1XlsitUsZJDwISUNGvG8zdNqlIM0PocZl80gPrYOC1Knadc43ZJ+4\n4rdwxMuQTrQOFs6HzG9w9dAmRdMU0mbOQhTdswLJVpAWBPXGZSA9tI4JUlZKv3FUqS6kcRJt\nxEeVg85nqnkC50WQLqk6Q9umXcOyHdHpnnWQWn0wfzcuA+mKhgbSci0cI8kLskgN2SOOensO\namNtVXTsPCZAOEdpDVEtbDrGgQMmyef182vWhkiS99N7JanTDKTNDQ2k5VoWteOfrFYnB8li\nPzBI5zRAEt8tgdRCuWIaO3HwgVMl0i0LjoAEHWaQg/OyMdL2hgbScq1oqDww2CaMx0w4UCKD\nBPbofEp1IuNHMfO7JcMVPTskCbp4k0cZWCVHkYUi7L1U2zkykLZe9TY6KkhieWImQmSArA7H\nGmIHh9V8/fgIAxDMEW6LFNAKUfAbh0oNgTSR4CfeGT7q4rD3pu941IYG0g66FUhYWjWOjmhN\nA4MUJDkIclUvNECK2ABLDBJPqAacgvU8fbQGpMZAut0NDaTlWhK1o1eQFYRFUj2uK8KdklRy\nEOZ8n9UgKDqA5zOB1FLYzierxDh24z5YAilaMAPpdjc0kJZrrqEyF5THg8ZH8u7iYIkXmGPA\n7owRcgnIAUftGfbcS5v7pXwGuENWCb9Aij75gq7gao4OxIOBtEZHAknP7wThCJchNeUI6cL2\nKB5C8xX7/fmEHCFJuGsf2Swmqb+silMPAm34lmMTazk6EA8G0hodFiTZWCxgBW/HMQVlkE4n\n2oVZEvMuZ8z8jry0aboJPbSGpUAamfppJco3ndy6+js+Q0MDaQfdthwXk+QanWfntUFKWy3H\nD4CjuBapRQ55z1ka6ywFiY626zk6EA8G0hodBaQgeUHyPpEEu5vT0goECQMNJxgfwT8Q3w6X\nSxwiYbXIGJ/wlOlKHJGNcWqMVAWJOdoyJ3QcHgykNToISIRQitoFTRINkVwq4A2Ly88SSeDN\nXs4Ys6NtWeDstLkSABKJcy7tFjZpkPb9jk/T0EDaQR8DknbqsiMYqJNydpojrtKQkhri2liY\nRepwizAs/R3HS3pLox6mtPZn0rPb9zs+T0MDaQd9NEhhkGuHwQJBCsILwJHjXV0c7fTi0SC1\n73RV2IU5AiGMDkIIU7GGnb/j8zQ0kHbQB4MkhqnRJJWRhjM5dlklBwHpdOE8U4elh5W1K0Nx\nY7ZnhqOJj4/Dg4G0RscASe89QZZJ4Ikp3A0FDFxaZnSRpX+SwHBBz+4UeDzUYgp45jcWFRuQ\no+E670mSpgzWcXgwkNboICB14thRn4+huibgLGtLK2NDzhFMK4WsLhcGv1O2N/43BVJHHBUk\nTfp2k0Oo4/BgIK3RUUBCMUhxWWxEBGgKvs08uxhpeMVt+xxv00yOHQS/E0iY9e0TSGlWVt91\nWAtrOtpgIH1EQwNpueYbMkcx8TuUUgYp8NxQGkglkDyD1OJyPs0RkZRhMABpIvwdjxpIH9HQ\nQFquBQ2Jo+Awvw4oULspEwhvwSmCMF+VOGovnueMeqcOMr8zjnhxkuIgB6lNGj4eHrYx0gc0\nNJCWq94wlAuE0PpwTA6T6NKm5A3Xy0+pP3DGmdIazl5WhyNpDV+fzh5Sso4jJGndd1yg4zQ0\nkHbQ/iDpSIA6QnVUQ9qjLxkkr9w6LjB0OUOxhvZ8Ro48bjwLHM2B1C3kaMlM7XF4MJDW6OFB\nSoG64hg5XDQ88togxaC4FEChC5xPpzfg6MwcxcV9Ta0U5IJAwsgJBtLH3dBAWq4FIKFtUCBh\nepDTU0g4x+SdMksyQjqTZ+eJpGiUUsf3szWBGJXyUduR1UuLvuMiHaehgbSDPhgkGa0okmSI\nRCDF9bBc5S7wGlgC6QTV9Dt24wJMQ61K9iFUvlSPLigTdBweDKQ1eniQugFHQBKNjhgkxVHD\nI6UUA/euxwizGtgipeKqa5PmEJUv5bFZUzT1HZ+roYG0gz42apdAaggh/BfW6LFBAi8PVinJ\nXhPnN8pqOEusgStx7ZHEPTVsWvYdn6qhgbSDbmWRAq/lC6VBghETHEOQIKnh7e0tFmt4fe05\ngqwFLK0KUbvsbn5hDQYD6dY3NJCWa2qMBDTRitgOcu1S0E72ryQbpKZhcc9YDjW8vr72Z8TL\nimdH70l8dN2jruDoQDwYSGt0FJBYwE6HYyQJfmchO1VkixYixRXmJ6gedO5BIkokHUhTI3jN\nenyVMdL27/hkDQ2kHfTRILGf1+jdmMmzCylrSAfsfMxpwDQ7CDUQOGnyNk1S+cUkfeHz8e1i\njg7Eg4G0Rg8P0pAkOIp53VjaRI+QaPM9Obk/cjlRyK69XBRIUnGY/cauAGl+XnWZF7jgOz5X\nQwNpB31M1E5TFMi1i4Fuii1og0QYxZeU2Hq5vL29vsokUto0uQWSWrmy9+tAWjqeWvAdn6qh\ngbSDPiT7W4PEXlukR6oHqZBdyrijDPBzHBm9Suw7Tcd2TUu1T8QRzDgykB7qhgbSco00rAyT\nkKTQFJ6dk5Cd40pdr5eUHXS+QDg8rZeAFCGfgdTBxTKOakwZSLe+oYG0XGXDMNjmMtWzw7L3\naVcxTGrg0EOgF83ldKFSDdEuIXNMAO4H4wYguVTWLioPySnX0MZIt7zh04D0KYp+dpWfqD1B\nSoOiihyXZFAgERI4l+TbnqcI0esJ9zHvLRINphgkGGe51iuOfFdWaMgnifCcbKh11Xd8xoYG\n0qQ+qR+fhj9JO4LEhmKEI56PVeuQFFa4C0XPzokcu9Pp7Y34CY4MEjp/Le0ZK/bFjddnyMZR\nO3zHp2xoIE3qsUAKekkfGSQ1F4v/nqNfRwvMz69vb7C5GFZmjT+hpGqDO47FG9bZMJAe44bP\nAtIn/fPDQVLDoQFIlNetRkLJIEkkLwoxApD68REs7MOyq5Syh5W+2zkoBp6dgXSPGz4NSDxE\n6roRkP4A+rKHgIMvPHQZgtRgsnceauCBDpN0ifOwWKihPZ9Op3PaJ4kDClEUwZt4mv4keQ0n\n07+mW+ppQKJ/bmGRiBi0S6Mk6ZidTMaSAes/P4E1wg2RTpGjc74OsM1BghsvyPTZHGUovuMT\nNzSLNKsbg4SvvWSgukRS8IGX9PFOylTom/bD7P260+uJU4NewSBhFAKumIovIEcAkuWe7tLQ\nQJrVbUGSReWhAClQ9Dvz7JTl8lijIYa+2a/rBWfKLGqrSVIc2WqIqxsaSFO6pWuXygR1iqoh\nSVmoQX2MHJ1PF5hAeovLYyNHai4223WPKxQbSPs0NJCm9En9d5OoHS+G1RyRNxfUvyrvm4IJ\nLlxgSPT6ioFvwKj37ICRFHAbYmMg7dPQQJrUWEbDB2U2uBykVH2LA2+cZ8eencPiqxCvi3p7\nowy73sF7hQV9vdoEEu+FpO5pY6RdGhpIO+jDQOL1sMISxbHVZCxy1PtyYJAgzAD2KM4mcf1V\nPWs03HhCceQGWyKNPurm7/ikDQ2kHbQDSBSv45Q3pyxSYqphrBgkzhCK46PelcMwA9gjXB5L\npghe0O0qO7iIioS7kUfd/B2fuqGBtIOuB0ki3y4VsMtDDfCSJpEayWqgyDb6dWSOMPX7crnI\nYiPtvRFINWdO7OHko27+js/d0EDaQVeDpOeQopzLIw0ZVFlWAylxdD5TELzCUfzR0lZIFZIM\npCsaGkg76ANAKkmCVyqrQdLsIPAt6/hgIV+cQnp7axmkNkCEgbcvbwdbIam7GkgG0godASTJ\njtMBvEaDBE5eiCkPrydcfdTi2ChGvuN2sg2cCsvK46gI49xIUXwxfBQbIxlIq/RwIA32QyKE\n9GysTCjJEnMyR+GVQbpcXjlgFzDvgdo0CSQmCSN6xbNY1M5AWqPHA6ncoS9DSET7h4lnhzVM\nLnEdH7p1r709enuL9U44Jxwz8Rrx7HqXDkhqmipJSx5183d86oYG0g66HqTSqVL0yGI+Nkyc\n1QAmqn/NcYbz6Q2M0eVCq2Flf4omT091Dgs3NGvXFx2nWxtIN9FDgRQ7dznMz/w5kCSn6q0u\nIfp9kUKQpxMs5ZP9xyS253kzCuCIATOQ9mxoIO2ga0ACMzEAyRccCUlphISTSE3zFleTQ7Y3\n+HUt7pXU8p6yKTuIXiRT5Q2k/RoaSDvoCpDaAUjoyeE8K4TohCTPIAUquBpReH3lwsRn9Ori\nGfGfpkkskSFSiXdbODpQtzaQbqKHA6kljtija9Rqcw+lf7znlX7i2aFZ4ngdZHsnI0bRBrVb\neQ4S2aZ1D3ucbm0g3USPBxJE6VSIQWct4JSRMkgYaqCQHdgjjHonLxCxy9MaJM1BeXsrdZxu\nbSDdRA8EEpJUxrldKsdQfKBX9LnQ4gQSJH57qstVKto7uJNwZSB9QEMDaQddHbUbAlOjKKBh\nwvENjJOSQYJ6qrxSSWCJkiBGmzy9bRwdqFsbSDfRQ4GkUoQy04NOnSuOeqzeHfN/fFw8gQG7\nywldPw9TRIwQr58F165V2sjRgbq1gXQTPTpIjgdKjdozNvPsAkYNsA5krO/Nbp0MklLQDgZJ\nzBATtflRreEtb2ggLVfdIgVZt0dVvbOlsT70ZiVW38LMoN4eQZTPp6nYNGMr/hzi07TbSTpO\ntzaQbqKHBykLNNDMUMhDDf3PV5iJfX29iDWieF0PEW1TUYDkDaSPamgg7aBrQarYoyK+4FPi\nN9Y8if9gPdVXWpqEIYiQRknMkQbJG0gf1NBA2kFXglRx7HT423tJGCKnDZYm4QAJpo8ye8TJ\nP8IgEMRBhv5zGyN9REMDaQftA1JWCDJRlN6rrIZIEhZUhaQgXHWhp1wpTpGC4Skk3qCPt+lR\nN3/Hp29oIO2gK+eR0lioQlIxVsJNY+OplGIHgXIsXQxOHw2THBmufE+WpE2PepxubSDdRI8E\nkiQ2ZHFuoarVhyQcF19Fg3R+bSTqHSeYeN4IR0oNTMUWABlIH9PQQNpBV+falRwxRVn2kIQa\nABdcO8FpDgEmY2EpbBtJoqxx4iUzRNs5OlC3NpBuoocDqXVVeySIZZ4d2KNzNEgn2TmWV1nw\n/hS5C0fRCLwjFMUzi7R3QwNpB+0BUr68PCuc74pCxREUyA0iZHg5rGN+oCqDBgm3j4XXvDh2\ny8Mep1sbSDfRA4GUVshmUXDnqNC3H6wxj0g0sAjJOzE/bNGIo0bWmuNN1PpbWWW+4VmP060N\npJvokUDqho4dYJMAKmJ2cdIVQnYnJyDBGZilGniz2GwslNaxG0gf09BA2kHXzSPRcrxQk2xj\nLp4d/ATHruGjPTWMGbwLELlrkzunJeUatjzq5u/4/A0NpB10HUhSULW6lC85e8mzg5wG2K/c\nY/1hShBqcfKoRZAwEby8HQf+tuQ2HKdbG0g30WOBlKpB1pfFcvViMkj9KWiQJBiOk0bRrWM7\npIsPFbejsdOmJKHjdGsD6SZ6MJBSmIFIokpCcTbWhZAVa4io4OaWUBqfLI/EJBRAvDKpuB1t\nPWYg7dzQQNpBe+zYpwdG6Y3PElYxTuBO6Nh5TJtTwyuaT6LQN6XaFbdDv86yv/duaCDtoF22\nvgwcf/M+zwfPJpF6kwUG6SSTRykG7tnN86pkQ3k7P7apy4pHtYa3uqGBtFzo2tHoiCZWKV6H\nQQi9pC9+Gg3SK1aIlCae/DvM8obls1XHLgUbNj7q5u/47A0NpB20xzKKRFItFi6J3w44at/y\nksS8eQt5ghgTr+/QMmqqFj3q5u/49A0NpB10FUgSaBBmYsKpcuuUZ9e/vcAIKQYacB6p5aVI\nDRVF8VSqob7fciJpw6Mep1sbSDfRI4GkInYq7uY5vy4zSPEFGKTXRlbr5ZYrceRHdi7vGgPp\nIxoaSDvoCpBCARKPiyRcF9hXA5CwIiRGGhxU+MbBlPh4wtEYSL7BSISFv/dtaCDtoD1A4rlY\nh0XAJV9VhRrix5eWEhlC2iMp6Jp2TFX082o39EiShb93bmgg7aDtILmSo8EbDRJG7GK2Khbb\nos0wE0ewZVmQzZprJNHs06anPU63NpBuogcCqZqr2rgmVVtVnp07R5AuPgXxEDmagY2zs1Sb\nlZONKrfcOkDa/B2/joYG0g66BqQaSU1wOu0ueXZnWl8eMIuB2kLiHa9rwuqRPMKq3XMzRwfq\n1gbSTfQ4IHX1FRRNVkZI0uzOlzQX24r/RoOlFmuecP7qOEgH6p0Hamgg7aBrwt81jlyQyAOD\nBCVO0CDBQgnvWpg2crCUgidiEcsZjpqxwPisjtOtDaSb6IFAyheTS5kTDmqrUIP3EPo+8y5I\nOG/raUWSBMI1mNU7wsTttoc9Trc2kG6ihwJJWyJeeiRlT5Jn52hd7Cvk28VxkQCTiqjmIFVv\nSEvNNz3scbq1gXQTPShIQx9PViLFEMKJslWpHj6Mh1zGUSqCEjGq42IgfUxDA2kH7QNSNlpK\nbxCkEHj5RMBpo8gTRBzi+r8MpMRRjZfmCpKO060NpJvogUAikrj6D7EDMWzFUQ8Sbj5xSssl\nGp6UxYQ7PJj4G+OlhcPtJpKO060NpJvogUCSNUXFWEkqEcsk0oXnkDzNvhIugTZsaTDqQHSN\nu3AtcmQg7dvQQNpB20EaK3cCJfAVSKF9i8W+T5zBQCMltGWY0UDRO0879Y17cNDcQNq5oYG0\ng/YGqRwheTZIJ0pHlSpcLQ+NAh6hXCE6bYQjGyN9QEMDaQftCZKqGaRDDbgbEg2dPJfgguJb\nkBpErWmVEqTTjdqjjY7dkbq1gXQTPQ5IJUm8dKKhdDkqZxdwm8vXlsukxrgCFbGDUiZqHxi2\nSyM3pDM2PexxurWBdBM9DkgqO9WnBUnecYU7Nk0YaYhRAvDawOzgQlrkBm2S5mhYGhJlIH1M\nQwNpB10DkoNy+bJwL2DiArlqXnt25zOMexxwhP5by0W+1c7lPWGeqnRVb7mdowN1awPpJnog\nkJgkskVoiqCcydAg+QAp3p6TvXG04zkcLluXp2Wy1Xtu5uhA3dpAuokeByTObIDZIazU4HA7\nCZdCDb4hgxSatJAcKdLpQV62LpciDvV7Hqd3HqihgbSDrlmPlKIMOsuH01dxRMTr+djWxLES\nRbELklz+vn7P4/TOAzU0kHbQ9TUbMhhcYZAApPPZJ5LIqytIkrERb14+ctPj9M4DNTSQdtBm\nkNwkSAODNAISbxebqnIhSWN3PU7vPFBDA2kHbQVJ7yNRgAQGCTgKyiBNgITXc2yepm57nN55\noIYG0g66HqTBGEkcOzJIr5oj3wpJ+fyraxVIo2Hu4/TOAzU0kHbQDhYJcxo8Re1CaZAusDCW\no3aNxL7LPAb28zqeea3d9ji980ANDaQdtAmkHhUhqVHryznfztP6iVfIsuudtmijGkiBSBkM\nMZlBD4eIq04yGGokHad3HqihgbSDtoAExNQLRKa9WXzjwlurliFRrl2cl6W8vDz/NNFjIN22\noYG0gzaARMxABRP+LxcZJFpgTrXAyXVL+1SUidwCj4F024YG0g7aDlLQW8AGHiSxPeIsuwsb\nH6qXT5soIUfFighhx0C6aUMDaQf94ctqBU1SE7iyY2mQ2jcwSAhPgyuQqJGK2/XX68/AC7f4\nHl/wa9NB9bWB1C35f6S+80OEAUW4FM6cvKSQHdSEvKDzxymqbRLH7dI2fMoMWdTulg3NIu2g\nRSDJPCu9VyT5vPZJMkgetnG5wDlxeASrYltJ9faMlUxCZSMjm0e6YUMDaQctAUmVE8YDYnto\nkARFIAktXBxBC2PPELFDdiApFVdOBEVOHaQxHad3HqihgbSDtoA0MEE66EBzSFBbNVbNp4OO\n6m4BMiEkcAykuzc0kHbQBpCEmWwjJOYIDVLzKo5dwOKPvEoixhta8veyMZJfwNGBeueBGhpI\nO2jdGCmBRAMknhSKuXRNYM+u8bA/3+mEiaiw+REtmoCzW97XPP7MSZp5kuP0zgM1NJB20OKo\nXchBotWwAJHy8pCI5o1KcCEfMWKHAe/+XwDJexotRZA6juj5+f34jtM7D9TQQNpBiydkhaOu\nkUgDJQQNQnYQaGgvl3hWjHSniEOsng9yzFFkJ07NzlujbumjWsNHuKGBVBWMa6ivw6aVtKoc\nK9g12eqk5vUVOcKPPZe5A6YAqNiQIg3rHvc4vfNADQ2kHbQcJBUKACctDZwweQFGSIkjXs8H\no6e4dywUWEUbhvGIDRwdqHceqKGBtIM2gdRhVoIO3/n/39658LaNY2HUGtmy06gbzHYGBQrM\nou1u1cfU/v8/b817ST0cW5bdO7SvdQ4wQZzpFyY1T/kUmS4/CjN2G/VI/k+hJ37LgmwZp+3i\nZvDQw7vwx/VTOx0FEcmAyWMk9SiOk9JB+EcGSOu0hFTHcxiSYLFFSl26OFS60CQ/tdNREJEM\nmL77O3rUmjRYiF13Mw2VXj5RyVyE9OjaO5Dax/oSBSLdQRCRDLjoMYpoTTituJSb+YrBXjtt\nkDahQaqfpDEqtmvd9h0GSftPip5D6hEi3T6ISAZMFEkbok6Z9g7zPl3Hrq5rPShIR07lWrXT\nmbvokX7lwh/XT+10FEQkA6aJFLt0fZEK/ai3WMoqq26y08dim2XRHVVX6gn6RdzfkHZ+l5d7\n5Kh2OgoikgGTRGq7dEOTYovTa5CiR02zjBN4ZfpPTUqnq8bV2ct/XD+101EQkQy4UqTtqwFS\nbyl237HTxaNtmmQoykS75Ztrju4miEgGTBFpeUSkbqTUn2iId0/U4Z6krewAkuZI2qKDabvr\nflw/tdNREJEMmCBSb+X1wKNei6QeyQrSZhP3D6WtqekWTN1R90sm+amdjoKIZMB5kZZHRZLr\nyA/6dXGiYSO3uGxlcam3IrtdDrnqx/VTOx0FEcmAa0Vqp7/TyQ3ronzW9qjWBSS9q6XzCJHu\nNYhIBkwS6YhJwyUk8UgGQFW90Y1AcTIi8cojRLqbICIZMGmMdGqU1JtoiB7VdRWfM4oLRUmj\nVx5duu9b8VM7HQURyYBJs3bL1y7JTNxggBTOg9w0TSXrrkVaSIoT4KkV6jxCpLsJIpIBE7cI\nHZokfqRHzVuPnnQF6WCbarzkUlqhziNEupsgIhlwwfNI3fCoiLuCDtqjqqrq7bobGQ3WjfRL\nv+iRo9rpKIhIBlyw+/ugb6fn4vce0mtCv24/GIoP8Ik2u6FH61/0yFHtdBREJAMuvI0itUFp\nBrznUbXv1xXLMk17y0ZvDS270+t+acrush+V4G0LRKRTHJu9ix7tO3ZNLc/Ehtm54JBM2PXT\nA48Q6Z6CiGTA9OO4jkzd9T1qGjmkIZ79LXuDht9Au3ra1/NTyeYQRCQDpoq0Hc6Br9uOXaEe\nbZom/T+ZsStEo8FdYsv2Pj5HlWwOQUQyYPITsscWk9SjUubrKjnErlymR2HjEarBpGVsibpv\n56eSzSGISAZMfkL2QKTmqEdBJDUprLiefnTCTyWbQxCRDJh2iP720CS9QEw8ehp4tFSTlkdF\nak36+/RVYuP4qZ2OgohkwHSRerMNzcCjpkrjIz0mKF7NV4yKdOXcnZ/a6SiISAacE0km37qt\n3rKrYeBREwjXLQfLiiROWEeKY6TlMZGunQX3UzsdBRHJgDMiyVT2Lm6q00fLm75HZaP7GeKj\nR0UySUTqblx+NUZCpDsKIpIBoyJ9jQfh945naF571LRH6cejhXRjw6tjVfuzdoh0R0FEMuCc\nSKpSO1cX2p+eR7Wsw67jjZfbot35HU/eOibRbscY6b6CiGTAeZH2NHVYcBXqYXtUbTZyW9I2\nPb+nh6kWvcHRsQk6Zu3uKYhIBoyL9DV5FJokloQAAAbNSURBVD5GxKN/BVOenvZfX8vxdbI3\nSG5v0QNV+x4dwU8lm0MQkQw4I1Iw6WtohxKbrj162mw2Ou+tpzToSCk90zc6CPJTyeYQRCQD\nzoj0FJCRUdcebdWjTejtle1DFfqJClQeHxl1+KlkcwgikgHjIolHT7E9Ct27nkehs9fuGJL7\nZF8tG5WnvrGfSjaHICIZMCpSoyJJz26vUVV1HoXXddccFfGi2HLXXYE02Po9xE8lm0MQkQyY\nJJI0RiJO69F+fLRpTyKW/UOhXxe2ehedR4jkIohIBoyL1HRdu01aiE3rsPW6PbdYHi6X+5HC\ntLbOgI955KiSzSGISAaMj5HEpDRp1y0g7VunRpujdAZKEc+CbK8/X4955KiSzSGISAacmbVr\nDuYZxCMdHmmXLi7DxrNNQkg9Gj8myE8lm0MQkQw41yLpboZm6FFclY3Do6FHYtK547b8VLI5\nBBHJgCki7TVadh7JdRO6iVU8Ktc6KLrksDo/lWwOQUQy4MxkQxweyQN9cXwkTx/17qJYb7UN\nQiSvQUQy4JxIYpI+GBvnGVJzJJ278D/Cn7zMI0eVbA5BRDJgTKS19uuWfY+aJl0fppMKaRfQ\nZacQ+6lkcwgikgGjItXardOOXerX6TTdcimPTnBf2AMEEcmAcZHqzSZ6JMcx1Po0bDy5rrjy\n4byREgneIohIBoyJtD30SDcJyfH5RdoJdFWpfirZHIKIZMBoi6Qeve08Sk9MhP0/W0R6kCAi\nGTAuUvJorfuCukePyvZS2KtK9VPJ5hBEJANGRNJLWP4dO3ZyykknUrm79vyS3ekSCd4kiEgG\nnBZpHe46eooefRx4pCJdeX7J7mSJBG8TRCQDxkRaV793HlWVHnAXPZKt3X7qCsHsBSKSEg6n\ne34O2lTlx2fZGBS+lDyS5Vc/dYVg9gIRSdhLU1fRo7cf9WmkYrtORzPoNgY/dYVg9gIRSRCR\nokdvm1akUh6eSNuB/NQVgtkLRCRhL8zvyaMqevTqXlg/dYVg9gIRSYgzdNXbvUfVRj3aHm5M\n9VNXCGYvEJEU9ejPt2GAVIUTGsrtqz/jp64QzF4gIkWK7fb5j48fn6uqrstuXNTHT10hmL1A\nREo8P//19fPnr3tOhf3UFYLZC0SkxF97iUY9clRXCGYv8OFFWu3pXo2I9DncRoFIjx9EpGtY\ntR+Ec9e6jHnkqK4QzF4gInUg0iyCiHQNF4s08r381BWC2Qucj0i/CX+P8L/A2B8AOMV8RBLO\ntkhj38vPP7oEsxeISB2INIsgIl3DhSKNfi8/dYVg9gIRqQORZhFEpGu4TKTx7+WnrhDMXuCj\nizR9ZwMizSSISAaMi3Qm7KeuEMxeICJNh+BDBBHJAEQiiEgGIBJBRDIAkQgikgGIRBCRDEAk\ngohkACIRRCQDEIkgIhmASAQRyQBEIohIBiASQUQyAJEIIpIBiEQQkQxAJIKIZAAiEUQkAxCJ\nICIZgEgEEckARCKISAYgEkFEMgCRCCKSAYhEEJEMQCSCiGQAIhFEJAMQiSAiGYBIBBHJAEQi\niEgGIBJBRDIAkQgikgGIRBCRDEAkgohkACIRRCQDEIkgIhmASAQRyQBEIohIBvwG8M9gXFON\nsRYpkP9XpsSHKPHOXRkFkSjxbkpEpCEzeMsp8SEKNOSfEAlgdiASgAGIBGAAIgEYgEgABiAS\ngAH2Iq32mH/Tc2XmLi/773iLv9XMf62rm/yOVpiLtGo/5CN7rW4/PG6Ju+x/rX4lCjyCSKvs\n4rYfHrfE/H+tiDTgNv92Zi7vNmVmr9f5/63wCyL5KfPBRXI9REIkL0XmrmWr3Qx6r4YgEkWe\nLOvRG11LEMlLiZlFWt2kq4VILfMQ6Sa/4GP/lnTthsxCpNtU6ccXya9H7Gy4qrj83Z6Z7GzI\nWqAp7LUDMACRAAxAJAADEAnAAEQCMACRAAxAJAADEAnAAEQCMACR7ohPjlf25w4i3REL3g23\n8NbdEYjkF966bPx4t1h9CJ98e7fQzxaL76uX7vVigUlu4Z3Lxc9VEOXdbvdlIYg5L4v33WtE\ncgzvXC4+7J35Fkx5s/jvbvc9fCY2DV7f+oeEa+Gty8Wbxc/06Y8v/3lRcX4cvL7ZTwe/CG9d\nLjpLXrQv137p8DU4hLcuF60l7xdvPn350Ylz+Bo8wluXi7ZrJ7r87MQ5fA0e4a3LxYfFhzSl\n8G3386Uv0vA1eIS3Lhc/ZPr7TTBqOCbqv2aPkFcQKRvf963O+zBN936xePnWa4Ha158QyS2I\nBGAAIgEYgEgABiASgAGIBGAAIgEYgEgABiASgAGIBGAAIgEYgEgABiASgAH/B1VuQnqj4yzG\nAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(diamonds, aes(x=carat, y=price, color=cut)) + \n",
    "geom_point() + \n",
    "geom_smooth() +\n",
    "# 更改主题\n",
    "theme_bw() + \n",
    "labs(title=\"bw Theme\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.9 图例删除和更改位置\n",
    "通过设置主题（legend.position=“none”），可以删除图例。通过将其设置为“顶部”，即主题（legend.position=“顶部”），可以在图像周围移动图例。通过将legend.position设置为绘图内部的坐标，可以将图例放置在绘图内部。legend.justification表示图例的锚点，即将放置在legend.position给定坐标上的点。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 无图例\n",
    "p1 <- ggplot(diamonds, aes(x=carat, y=price, color=cut)) + \n",
    "geom_point() + \n",
    "geom_smooth() + \n",
    "# 无图例\n",
    "theme(legend.position=\"none\") + \n",
    "labs(title=\"legend.position='none'\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "p2 <- ggplot(diamonds, aes(x=carat, y=price, color=cut)) + \n",
    "geom_point() + \n",
    "geom_smooth() + \n",
    "# legend at top 设置图例在图形顶部\n",
    "theme(legend.position=\"top\") + \n",
    "labs(title=\"legend.position='top'\")  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "p3 <- ggplot(diamonds, aes(x=carat, y=price, color=cut)) + \n",
    "geom_point() + \n",
    "geom_smooth() + \n",
    "labs(title=\"legend.position='coords inside plot'\") + \n",
    "# legend inside the plot 设置图形位置\n",
    "theme(legend.justification=c(1,0), legend.position=c(1,0))  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "`geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = \"cs\")'\n",
      "\n",
      "`geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = \"cs\")'\n",
      "\n",
      "`geom_smooth()` using method = 'gam' and formula 'y ~ s(x, bs = \"cs\")'\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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UHbF1IG9rKKkOhDNsELIzNc/3P72arK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4wEW8deLnhWU1eu1web3LjeoJ9iI32YWQ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\nAAoQJAAFCBKAAv8BwgnlGGzVMLQAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# arrange统一显示图像\n",
    "grid.arrange(p1, p2, p3, ncol=3)  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.10 网格线"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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bC1IdUAEyMMqTNga0OqASZGGFJnwNaG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\nbE8AAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(mtcars, aes(x=cyl)) + \n",
    "geom_bar(fill='darkgoldenrod2') +\n",
    "theme(panel.background = element_rect(fill = 'steelblue'),\n",
    "# 设置主网格线\n",
    "panel.grid.major = element_line(colour = \"firebrick\", size=3),\n",
    "panel.grid.minor = element_line(colour = \"blue\", size=1))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.11 图边距和背景"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CfSw+3AK7fQv936M1K0IX9Gmsc/Dx79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\nJBEZ5t94+LIUcUzCdwAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ggplot(mtcars, aes(x=cyl)) + \n",
    "geom_bar(fill=\"firebrick\") + \n",
    "# top, right, bottom, left\n",
    "# plot.background设置背景，plot.margain设置边距\n",
    "theme(plot.background=element_rect(fill=\"steelblue\"), plot.margin = unit(c(2, 4, 1, 3), \"cm\")) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.12 注释\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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UIk740RaRqhXojkvTEiTSPUC5G8N0akaYR6IZL3xog0jVAvRPLeGJGmEeqFSN4b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\nCcAARAIwAJEADPh/ZYY6eXjpkWUAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      },
      "text/plain": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "library(grid)\n",
    "# 添加注释\n",
    "my_grob = grobTree(textGrob(\"This text is at x=0.1 and y=0.9, relative!\\n Anchor point is at 0,0\", x=0.1,  y=0.9, hjust=0,\n",
    "  gp=gpar(col=\"firebrick\", fontsize=25, fontface=\"bold\")))\n",
    "ggplot(mtcars, aes(x=cyl)) + \n",
    "geom_bar() + \n",
    "annotation_custom(my_grob) + \n",
    "labs(title=\"Annotation Example\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 6.13 保存ggplot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Saving 6.67 x 6.67 in image\n",
      "\n",
      "Saving 6.67 x 6.67 in image\n",
      "\n"
     ]
    }
   ],
   "source": [
    "plot1 <- ggplot(mtcars, aes(x=cyl)) + \n",
    "geom_bar()\n",
    "# 保存图像\n",
    "ggsave(\"myggplot.png\")  # saves the last plot.\n",
    "ggsave(\"myggplot.png\", plot=plot1)  # save a stored ggplot"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
